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Capacitors are essential components in electrical and electronic circuits. They are passive devices that store and release electrical energy by accumulating charge on two conductive plates separated by an insulating material called a dielectric. This article will explore the vital roles that capacitors play in electric circuits. One of the primary functions of capacitors is to store electrical energy. When a voltage is applied across a capacitor, it accumulates charge on its. Capacitors can be used to filter out specific frequencies in a circuit. In power supply circuits, capacitors are often employed to smooth out voltage fluctuations and reduce noise by filtering out high-frequency. Capacitors can be used to couple or decouple signals between different stages of an electronic circuit. In coupling applications, capacitors. In combination with resistors or inductors, capacitors can form RC (resistor-capacitor) or LC (inductor-capacitor) circuits that create time delays or generate oscillating signals. The time constant in an RC circuit is determined.
[PDF Version]Capacitors are essential components in electrical and electronic circuits. They are passive devices that store and release electrical energy by accumulating charge on two conductive plates separated by an insulating material called a dielectric. This article will explore the vital roles that capacitors play in electric circuits.
Capacitors can help stabilize voltage and current levels in a circuit. They can store and release energy quickly, making them ideal for maintaining stable voltage levels in power supply circuits or buffering current spikes in high-speed digital circuits.
A capacitor is an electrical component which stores and releases electricity in a circuit, much like a rechargeable battery does. However, a capacitor stores potential energy in an electrical field, whereas batteries accumulate energy in the form of a chemical energy, and then convert this into an electrical energy.
When a voltage is applied across the plates, an electric field is created, causing electrons to accumulate on one plate while the other plate develops a positive charge. This process allows the capacitor to store electrical energy in the form of an electrostatic field.
A capacitor consists of two conducting plates separated by an insulating material called a dielectric. When a voltage is applied across the plates, an electric field is created, causing electrons to accumulate on one plate while the other plate develops a positive charge.
In power supply circuits, capacitors are often employed to smooth out voltage fluctuations and reduce noise by filtering out high-frequency components. Additionally, capacitors can be used as decoupling devices in electronic circuits, isolating different sections of a circuit to prevent interference and improve performance.
The main two reasons that would cause a capacitor to explode is Reverse polarity voltage and Over-voltage (exceeding the voltage as little as 1 – 1. 5 volts could result in an explosion).
The next factor that might cause a capacitor to explode is Over voltage. A capacitor is designed to hold a certain amount of capacitance as well as withstand certain amounts of voltages and currents. The voltage of a capacitor is usually displayed on the outside of its packaging.
When it comes to a capacitor exploding, the electrolytic capacitor is the most likely type to cause a spectacle compared to its counterparts. Other capacitors will not explode, but rather burn, crack, pop or smoke. The main reason why an electrolytic capacitor might explode is due to its construction.
Yes, capacitor explosions have the potential to endanger lives and damage property. An explosion can cause physical injury and equipment damage due to the release of energy and debris. When working with capacitors, it's crucial to adhere to safety procedures and take the proper precautions.
Capacitors operated at extreme hot conditions can fail due to excessive temperature. The excessive heat can be due to high ambient temperature, radiated heat from adjacent equipment, or extra losses. 4. Ferroresonance The capacitor banks tend to interact with the source or transformer inductance and produce ferroresonance.
The storage capacity of electrolytic capacitors is poor. The longer they are held, the worse their interior chemistry becomes, and their voltage rating rapidly decreases. A capacitor that displays a given voltage but no longer possesses that voltage could blow up as a result.
Understanding the intricacies of electrolytic capacitors is pivotal for engineers and enthusiasts, especially when occasional explosions pose challenges in electronic systems. This comprehensive exploration delves into the composition of electrolytic capacitors, their various types, and the nuanced factors contributing to their explosive nature.
Capacitors can be classified into several types, and their symbols are used in circuit schematics to represent them. The symbol typically shows a "+" sign1. Variable Capacitors: These allow for adjustable capacitance and are often depicted with a symbol that includes an arrow or a variable line1.
Figure 2 shows common capacitor symbols that you can find in schematics and circuits. Capacitors can be broadly categorized into two classes: variable capacitance and fixed capacitance capacitors. The main types of fixed capacitance capacitors include ceramic, aluminum electrolytic, tantalum, film, and mica capacitors.
There are many different types of capacitors, but they can be broadly classified into two main types: Fixed capacitors and variable capacitors. Capacitor stores which type of energy? There are many different types of capacitors, but they can be broadly classified into two main types: Fixed capacitors and variable capacitors.
The symbol for a capacitor in circuit diagrams is two parallel lines representing the plates, with a gap indicating the dielectric material. The symbol is universally recognized in electronics and helps in identifying the role of capacitors within a circuit. What are the different types of capacitors?
The main types of fixed capacitance capacitors include ceramic, aluminum electrolytic, tantalum, film, and mica capacitors. Figure 3 shows classification of the common types of capacitors. Ceramic capacitors are versatile components and they are used in a wide range of applications.
As we know capacitor is one of the basic components used in an electrical circuit like resistors, inductors, and many more. The capacitor is a passive device that is available in a wide variety. They are classified based on various aspects. Let us know the detailed classification of capacitors along with capacitor types. What Is a Capacitor?
The symbol for a variable capacitor is similar to that of a fixed capacitor, but it includes an arrow through one of the plates to indicate adjustability. The symbol is represented as follows: A commonly used symbol for a trimmer capacitor is two parallel lines with a diagonal line in between, indicating its adjustable nature.
The filter capacitor refers to an energy storage device installed at both ends of the rectifier circuit to reduce the ripple coefficient of AC pulsation and improve the efficient and smooth DC output.
Typically a large filter capacitor is used to absorb and store energy when the AC power is higher than what is needed by the DC load and to supply energy to the load when the AC power is lower than what is needed.
To start selecting the best capacitors for power supply filtering, you need to get into a capacitor datasheet and delve through some specifications. Some of the important specifications are as follows: Capacitor material: Your capacitor might be a ceramic, electrolytic, tantalum, polyester, or other material.
With the right capacitor (or capacitor bank), you'll be able to dampen voltage ripple from your rectifier while ensuring a long lifetime. Although most subjects involving “filter capacitors” simply refer to the output capacitor on a rectifier, it can also refer to the capacitor on the output of a voltage regulator.
Yes, capacitors can be used to filter power supply noise. An appropriate value of the capacitor is required for the suppression of the ripple voltage. Use the following formula to choose a capacitor value: The capacitor value is determined by the load current and the desired ripple voltage.
The drive for greatly increased power densities in switch mode power supplies (SMPS) is dramatically pushing the switching frequency up as a method for increased power density. This increase in switching frequency now puts severe limitations on the output filter capacitor's electrical parameters and how it is physically mounted in the circuit.
A capacitive filter smooths additional pulses in the output stage so that an almost constant DC voltage is supplied to the load. The output filter charges up to the peak of the input voltage as seen across CF (the positive portion of the input). As the input voltage to the output stage descends below 0V, the capacitor discharges into the load.
Capacitance ranges vs. voltage ranges of different capacitor types. Capacitance ranges from picofarads to more than hundreds of farads. Voltage ratings can reach 100 kilovolts. In general, capacitance and voltage correlate with physical size and cost. are manufactured in many styles, forms, dimensions, and from a large variety of materials. They all contain at least two, called plates, separated by an layer (). A conventional capacitor stores as by separation in an between two plates. The charge carriers are typically, The amount of charge stored per unit vo.
Capacitors are categorized into 2 mechanical groups. Fixed Capacitors consist of fixed capacitance value and variable capacitance with variable capacitance value. Beneath are a brief description of various capacitor types and their properties. A ceramic capacitor is considered to be one of the most commonly used capacitors.
Capacitance values for fixed capacitors can range from picofarads to frads, depending on the specific type and application. Voltage ratings may also vary with some models being capable of handling thousands of volts.
Variable capacitors are made as trimmers, that are typically adjusted only during circuit calibration, and as a device tunable during operation of the electronic instrument. The most common group is the fixed capacitors. Many are named based on the type of dielectric.
As we know capacitor is one of the basic components used in an electrical circuit like resistors, inductors, and many more. The capacitor is a passive device that is available in a wide variety. They are classified based on various aspects. Let us know the detailed classification of capacitors along with capacitor types. What Is a Capacitor?
They are used in high power AC and DC applications. Such types of capacitors whose capacitance can be changed either mechanically or electrically is known as the variable capacitors. They don't have fixed capacitance value instead they provide a range of values.
Capacitance Value: Choose appropriate capacitance values based on the frequency of the signals and noise levels. Voltage Rating: Ensure the capacitor can handle the maximum voltage in the circuit. ESR (Equivalent Series Resistance): Low ESR capacitors are preferred for decoupling to efficiently filter high-frequency noise.
In this tutorial, we will learn about what a capacitor is, how to treat a capacitor in a DC circuit, how to treat a capacitor in a transient circuit, how to work with capacitors in an AC circuit, a.
Capacitors are fundamental in electrical systems, primarily for storing and releasing energy. They serve as essential components in electronics, power networks, and applications where temporary energy storage and stabilization are crucial. Additionally, capacitors play a key role in filtering, power conditioning, and circuit tuning.
Let us see the different applications of capacitors. Some typical applications of capacitors include: 1. Filtering: Electronic circuits often use capacitors to filter out unwanted signals. For example, they can remove noise and ripple from power supplies or block DC signals while allowing AC signals to pass through.
Capacitors are connected in parallel with the DC power circuits of most electronic devices to smooth current fluctuations for signal or control circuits. Audio equipment, for example, uses several capacitors in this way, to shunt away power line hum before it gets into the signal circuitry.
Power factor correction: Capacitors are often used in power factor correction circuits to improve the power factor of AC electrical systems. This can help to reduce energy losses and improve the efficiency of electrical systems. 7. Bypassing: Capacitors can bypass or short out unwanted signals in a circuit.
In power suppliers, capacitors are used to smooth the output of a full-wave rectifier or a half-wave rectifier. As we all know, a capacitor is used to store energy. It is used to represent information in binary form or in analog form. Capacitors are used to integrate a current signal into signal processing circuits.
The amount of electrical energy a capacitor can store is determined by its capacitance, measured in Farads (F) units. The capacitance of a capacitor is determined by the size and shape of the plates and the type of dielectric material used. Capacitors are widely used in various electronic circuits, such as power supplies, filters, and oscillators.
Capacitors, by their nature, do not increase the voltage level in a circuit. Instead, they store electrical energy in the form of an electric field between their plates.
How do Capacitors increase Voltage. How do Capaci... How do Capacitors increase Voltage. Capacitors are used to store electrical energy, although they cannot increase the voltage on their own. By connection, the energy of a capacitor can be described in terms of the work done while charging it.
Power companies use capacitors to regulate the voltage on their primary distribution circuits the bank is shut down and improves the power factor of the circuit, which decreases the amps, which increases the voltage .
Should the voltage on a circuit fall below a specified level for some reason, a device called a capacitor can momentarily maintain the voltage at line value. Basically, a capacitor serves the same purpose as a storage tank in a water system.
In many circuits where the output voltage must be greater than the input voltage, capacitors can be used. The output DC voltage is increased by adding capacitors to the full-wave and half-wave rectifiers. A voltage multiplier circuit may be used; This generates an output voltage that is several times greater than the supplied input voltage.
In most power applications, inductance prevails and reduces the amount of pay-load power produced by the utility company for a given size of generating equipment. The capacitor counteracts this loss of power and makes powerproduction more economical. Figure 2 – Pole-mounted capacitors. (a) Primary and (b) secondary
This current, again for a reasonably high transistor current gain, is the same as the collector current. Thus the output signal is this current multiplied by the collector resistor, Rc, which is Vin (Rc/Re). Hence, as already mentioned, the voltage gain is Rc/Re. The capacitor reduces the effective value of Re, hence increasing the AC gain.
When multiple capacitors are connected, they share the same current or electric charge, but the different voltage is known as series connected capacitors or simply capacitors in series.
When capacitors are connected in series, the capacitor plates that are closest to the voltage source terminals are charged directly. The capacitor plates in between are only charged by the outer plates. In a series circuit, the total voltage drop equals the applied voltage, and the current through every element is the same.
The capacitor plates in between are only charged by the outer plates. In a series circuit, the total voltage drop equals the applied voltage, and the current through every element is the same. The charge on every capacitor plate is determined by the charge on the outermost plates and is limited by the total equivalent capacitance of the circuit.
Capacitors in series means two or more capacitors connected in a single line. Positive plate of the one capacitor is connected to the negative plate of the next capacitor. Here, QT =Q1 = Q2 = Q3 = ———- = Q IC = I1 = I2 = I3 = ——— = IN When the capacitors are connected in series Charge and current is same on all the capacitors.
However, when the series capacitor values are different, the larger value capacitor will charge itself to a lower voltage and the smaller value capacitor to a higher voltage, and in our second example above this was shown to be 3.84 and 8.16 volts respectively.
Figure 1. (a) Capacitors connected in series. The magnitude of the charge on each plate is Q. (b) An equivalent capacitor has a larger plate separation d. Series connections produce a total capacitance that is less than that of any of the individual capacitors.
This means the capacitance of these two capacitors in series is 91 µF. The voltage across capacitors connected in series will be divided between the individual capacitors. If you know that there is 5V across all the capacitors, it means that the sum of the voltages across each individual capacitor will be 5V.
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Capacitance is the electrical property of a capacitor and is the measure of a capacitors ability to store an electrical charge onto its two plates with the unit of capacitance being the Farad (abbreviated to F) named after the British physicist Michael Faraday. Capacitance is defined as being that a capacitor has the capacitance of. The capacitance of a parallel plate capacitor is proportional to the area, A in metres2 of the smallest of the two plates and inversely proportional to the distance or separation, d(i.e. the dielectric thickness) given in metres. A capacitor is constructed from two conductive metal plates 30cm x 50cm which are spaced 6mm apart from each other, and uses dry air as its only dielectric material. Calculate the capacitance of the capacitor. Then the value. As well as the overall size of the conductive plates and their distance or spacing apart from each other, another factor which affects the. All capacitors have a maximum voltage rating and when selecting a capacitor consideration must be given to the amount of voltage to be applied.
[PDF Version]Capacitors are also known as 'condensers' and are a basic component when building an electrical circuit. They store electrostatic energy in an electrical field, and then dispense this energy to a circuit as it is needed.
Capacitors are fundamental in electrical systems, primarily for storing and releasing energy. They serve as essential components in electronics, power networks, and applications where temporary energy storage and stabilization are crucial. Additionally, capacitors play a key role in filtering, power conditioning, and circuit tuning.
When voltage is applied, an electric charge accumulates on the plates, allowing for temporary energy storage. Moreover, capacitors can smooth out power fluctuations, helping stabilize circuits by temporarily holding and releasing charge. Plates: Conductive materials that store opposite charges for energy storage.
In the realm of electrical engineering, a capacitor is a two-terminal electrical device that stores electrical energy by collecting electric charges on two closely spaced surfaces, which are insulated from each other. The area between the conductors can be filled with either a vacuum or an insulating material called a dielectric.
Capacitors store electrical energy by creating an electric field between two conductive plates separated by an insulating material called a dielectric. When voltage is applied, an electric charge accumulates on the plates, allowing for temporary energy storage.
Capacitors are used in several different ways in electronic circuits: Sometimes, capacitors are used to store charge for high-speed use. That's what a flash does. Big lasers use this technique as well to get very bright, instantaneous flashes. Capacitors can also eliminate electric ripples.
Learn about 25 types of capacitors based on structure, polarization, and dielectric material. Find out their characteristics, applications, and examples in electronic circuits and devices. A capacitor consists oftwo metal plates and an insulating material known as a dielectric. Depending on the type of dielectric material and the. A variable capacitor is a capacitor whose capacitance may be varied manually or electrically. In general, variable capacitors are made up oftwo sets of intertwined metallic plates, one of. Their capacitance value is fixed during manufacturing and cannot be changed later. They are divided into two types: 1. Polarized 2. Non-polarized are manufactured in many styles, forms, dimensions, and from a large variety of materials. They all contain at least two, called plates, separated by an layer (). Capacitors are widely used as parts of in many common electrical devices. Capacitors, together with and, belong to the group of.
[PDF Version]There are two primary varieties of variable capacitors are: Tuning capacitors use a frame that consists of a stator and a rotor. The frame supports both the stator and the mica material. The rotors rotate with the aid of a shaft when the stator is not in use. Trimmer capacitor A trimmer is a variable capacitor but small in size.
Capacitors are manufactured in many styles, forms, dimensions, and from a large variety of materials. They all contain at least two electrical conductors, called plates, separated by an insulating layer (dielectric). Capacitors are widely used as parts of electrical circuits in many common electrical devices.
Depending on the type of metal and electrolyte used, the electrolytic capacitors are classified into the following types. Aluminum electrolytic capacitors – aluminum oxide (dielectric). Tantalum electrolytic capacitors – tantalum pentoxide (dielectric). Niobium electrolytic capacitors – niobium pentoxide (dielectric). Aluminum electrolytic
Capacitors are categorized into 2 mechanical groups. Fixed Capacitors consist of fixed capacitance value and variable capacitance with variable capacitance value. Beneath are a brief description of various capacitor types and their properties. A ceramic capacitor is considered to be one of the most commonly used capacitors.
As we know capacitor is one of the basic components used in an electrical circuit like resistors, inductors, and many more. The capacitor is a passive device that is available in a wide variety. They are classified based on various aspects. Let us know the detailed classification of capacitors along with capacitor types. What Is a Capacitor?
There are two main types: Tuning capacitor – variable capacitor for intentionally and repeatedly tuning an oscillator circuit in a radio or another tuned circuit Trimmer capacitor – small variable capacitor usually for one-time oscillator circuit internal adjustment
To calculate the total capacitance of capacitors in series and parallel, you can use the following methods:Capacitors in Series: The total capacitance (C_total) is given by the formula:1/C_total = 1/C1 + 1/C2 + 1/C3 + . where C1, C2, C3, etc. are the capacitances of the individual capacitors1. Online Calculators: You can use online tools like the DigiKey Series and Parallel Capacitor Calculator2, Easybom Calculator3, or Inch Calculator4to perform these calculations easily. These resources provide both the formulas and tools to assist with your calculations.
The calculators below calculate series or parallel combinations of capacitors. Enter the capacitor value and press 'Add to Total'. Repeat until all capacitors have been entered. Press 'Clear Total' to start a new calculation. Enter capacitance, press 'Add to Total', repeat. Press 'Clear Total' to reset.
Total capacitance in parallel Cp = C1 + C2 + C3 + If a circuit contains a combination of capacitors in series and parallel, identify series and parallel parts, compute their capacitances, and then find the total. If you wish to store a large amount of energy in a capacitor bank, would you connect capacitors in series or parallel?
They are in parallel if the BOTH terminals of each capacitor are linked to the BOTH terminals of the other capacitors. They are in series if each capacitor has only one terminal linked to one of the other capacitor's terminals. This tool is used to calculate the total capacitance of several capacitors connected in series or parallel.
If you want to calculate the series capacitance of three capacitors, for example, fill in the first three boxes and leave the rest blank. For those three capacitors, the calculator can calculate the total series capacitance.
This Series Capacitor Calculator determines a circuit's total series capacitance. Up to ten different capacitor values can be entered into this calculator. Simply enter the values of the capacitors you have and leave the rest of the fields blank to calculate the total capacitance of less than 10 capacitors.
Capacitors connected in series will have a lower total capacitance than any single one in the circuit. This series circuit offers a higher total voltage rating. The voltage drop across each capacitor adds up to the total applied voltage. This is why series capacitors are generally avoided in power circuits. What is parallel capacitor?
A motor capacitor is an electrical that alters the current to one or more of a to create a rotating magnetic field. There are two common types of motor capacitors, start capacitor and run capacitor (including a dual run capacitor). Motor capacitors are used with that are in turn use.
Because of this, the start windings must use larger wire than that used for the split-phase or capacitor-start motors. The capacitor used during the run cycle may be the same one used to start the motor, or it may be a different, smaller capacitor.
A motor capacitor is an electrical capacitor that alters the current to one or more windings of a single-phase alternating-current induction motor to create a rotating magnetic field. [citation needed] There are two common types of motor capacitors, start capacitor and run capacitor (including a dual run capacitor).
At motor start, the firing angles of the SCRs are adjusted to reduce the RMS voltage applied to the motor. Capacitor- start motors may be designed for dual voltages. When this feature is available, they normally have two run windings and one start windings like the split-phase motor.
An oil-filled capacitor of 3 to 25 microfarads is connected in series with the start windings and remains in the circuit during the run cycle. Because the phase shift of the currents in the run and start windings is less than ninety degrees, this motor has a medium starting torque as compared to the capacitor-start motor.
A two-value capacitor motor is a capacitor motor using different values of effective capacitance for the starting and running conditions. Shaded-Pole Motor. A shaded-pole motor is a single-phase induction motor provided with an auxiliary short-circuited winding or windings displaced in magnetic position from the main winding.
The phasor diagram of the capacitor start motor showing the phase relationship between its starting winding and running winding currents and supply voltage is shown in figure-2.
Whether a capacitor can or cannot be replaced by a higher µF depends entirely upon the function of the capacitor in the circuit. The function of a capacitor in a circuit can be divided into two classes roughly. If the capacitor is used just as a charge storage deviceor if its capacitance affects the circuit. Replacing a capacitor with. Yes, the smoothing capacitors of a power supply can be replaced by a higher µF capacitor. The smoothing capacitors smooth out the output voltage waveform of a power supply. The. For circuits that are not affected by the capacitance, changing the value doesn't do anything, the circuit acts normally. But for circuits such as filter networks or audio amplifierschanging the capacitance changes the frequency. Yes, a capacitor with a higher voltage rating can replace a lower voltage capacitor of the same capacitance. A higher voltage capacitor. Yes, it can be replaced. In audio amplifiers, the capacitor acts as a DC blocker and will make an RC high pass filter circuit with the speaker's impedance. Increasing the capacitance will lower the cutoff frequencyof the.
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Introduction: Supercapacitor is a charge storage device which stores electrical charge via electrochemical and electrostaticprocesses. Due to their benefits as mentioned below, they have potential to replace or complement traditional batteries andcapacitors in various applications. They are being used worldwide in. Following are the benefits or advantages of Supercapacitor: ➨It offers high energy density and high power density compare to common capacitor. ➨It offers high capacitance (From 1 mF to >10,000F). ➨It offers fast charging. Following are the drawbacks or disadvantages of Supercapacitor: ➨They have higher self discharge rate. This is considerably high compare to battery. ➨Individual cells have low voltages. Hence series connections.
Capacitors possess higher charging/discharging rates and faster response times compared with other energy storage technologies, effectively addressing issues related to discontinuous and uncontrollable renewable energy sources like wind and solar .
Capacitors exhibit exceptional power density, a vast operational temperature range, remarkable reliability, lightweight construction, and high efficiency, making them extensively utilized in the realm of energy storage. There exist two primary categories of energy storage capacitors: dielectric capacitors and supercapacitors.
These capacitors exhibit extremely low ESR and equivalent series inductance, coupled with high current-handling capabilities and outstanding high-temperature stability. As a result, they show immense potential for applications in electric vehicles, 5G base stations, clean energy generation, smart grids, and other fields.
Batteries can store substantial energy in small volumes but are limited in instantaneous power output capabilities. Supercapacitors occupy an intermediate niche, bridging the conventional capacitors and battery domains. They provide higher energy densities than conventional capacitors while retaining exceptionally high-power densities.
Different sub-categories of supercapacitors demonstrate further variability in achievable energy-power space as captured through Ragone plots. Materials innovations to expand the envelope of attainable energy and power combinations continues to be an active research priority for supercapacitors. Fig. 4.
Electrolytic capacitors feature a thin dielectric layer, an extensive positive electrode area, and, consequently, a high capacitance per unit volume. This allows them to often boast higher capacitance values compared with other dielectric capacitors. However, they also exhibit a significant leakage current and a relatively short lifespan.
Failures can be the result of electrical, mechanical, or environmental overstress, "wear-out" due to dielectric degradation during operation, or manufacturing defects.
There are several reasons why a capacitor can fail, including: Overvoltage: Exposing a capacitor to a voltage higher than its rated voltage can cause the dielectric material to break down, leading to a short circuit or even a catastrophic failure.
Continued operation of the capacitor can result in increased end termination resistance, additional heating, and eventual failure. The "open" condition is caused by a separation of the end-connection of the capacitor. This condition occurs more often with capacitors of low capacitance and a diameter of less than .25 inch.
Capacitor acts like short circuit at t=0, the reason that capacitor have leading current in it. The inductor acts like an open circuit initially so the voltage leads in the inductor as voltage appears instantly across open terminals of inductor at t=0 and hence leads.
Capacitor: at t=0 is like a closed circuit (short circuit) at 't=infinite' is like open circuit (no current through the capacitor) Long Answer: A capacitors charge is given by Vt = V(1 −e(−t/RC)) V t = V (1 − e (− t / R C)) where V is the applied voltage to the circuit, R is the series resistance and C is the parallel capacitance.
Physically, it's because it is an open circuit! Consider the most basic form of a capacitor, the parallel plate capacitor. All real capacitors are similar to this, though it may be hard to see it because there are many layers, the layers are coiled up or there is more complexity to the layers.
Since the rate of change is definitionally zero under DC conditions, no current flows through them, and so they act similar to (analytically indistinguishably from) an open circuit in that condition. No electrons can flow from one side of a non-leaky capacitor to another.