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Voltage in Capacitor Formula

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Voltage Across Capacitor is the behavior of capacitors in electrical circuits, especially in transient conditions where voltages and currents are changing over time. Check FAQs

V c = \frac{1}{C c} \cdot \int (I i \cdot x, x, 0, t 2)

V_c - Voltage Across Capacitor?C_c - Capacitance Across Capacitor?I_i - Incident Current?t₂ - Required Time?

Voltage in Capacitor Example

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Here is how the Voltage in Capacitor equation looks like with Values.

Here is how the Voltage in Capacitor equation looks like with Units.

Here is how the Voltage in Capacitor equation looks like.

22.5 = \frac{1}{2.4} \cdot \int (12 \cdot x, x, 0, 3)

22.5V = \frac{1}{2.4F} \cdot \int (12A \cdot x, x, 0, 3s)

22.5 = \frac{1}{2.4} \cdot \int (12 \cdot x, x, 0, 3)

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Voltage in Capacitor Solution

Follow our step by step solution on how to calculate Voltage in Capacitor?

FIRST Step Consider the formula

V c = \frac{1}{C c} \cdot \int (I i \cdot x, x, 0, t 2)

Next Step Substitute values of Variables

∴

V c = \frac{1}{2.4F} \cdot \int (12A \cdot x, x, 0, 3s)

Next Step Prepare to Evaluate

∴

V c = \frac{1}{2.4} \cdot \int (12 \cdot x, x, 0, 3)

LAST Step Evaluate

∴

V c = 22.5V

Voltage in Capacitor Formula Elements

Variables

Functions

Voltage Across Capacitor

Voltage Across Capacitor is the behavior of capacitors in electrical circuits, especially in transient conditions where voltages and currents are changing over time.

Symbol: V_c

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage Across Capacitor

Capacitance Across Capacitor

Capacitance Across Capacitor is defined as the how much charge it can store for a given voltage.

Symbol: C_c

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Capacitance Across Capacitor

Incident Current

Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition.

Symbol: I_i

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Incident Current

Required Time

Required Time is the time required for 1 coulomb of charge to move from one point to the other.

Symbol: t₂

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Required Time

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

Other formulas in Transient category

Go Characteristic Impedance (Line SC)

Z 0 = \frac{V i}{I i}

Go Incident Voltage using Transmitted Voltage (Load OC)

V i = \frac{V t}{2}

Go Load Impedance using Reflected Coefficient of Current

I l = Z 0 \cdot \frac{1 - ρ i}{ρ i - 1}

Go Load Impedance using Reflected Coefficient of Voltage

I l = Z 0 \cdot \frac{ρ v + 1}{1 - ρ v}

How to Evaluate Voltage in Capacitor?

Voltage in Capacitor evaluator uses Voltage Across Capacitor = 1/Capacitance Across Capacitor*int(Incident Current*x,x,0,Required Time) to evaluate the Voltage Across Capacitor, The Voltage in Capacitor formula is defined as the charge stored in a capacitor is directly proportional to the voltage across it. Voltage Across Capacitor is denoted by V_c symbol.

How to evaluate Voltage in Capacitor using this online evaluator? To use this online evaluator for Voltage in Capacitor, enter Capacitance Across Capacitor (C_c), Incident Current (I_i) & Required Time (t₂) and hit the calculate button.

FAQs on Voltage in Capacitor

What is the formula to find Voltage in Capacitor?

The formula of Voltage in Capacitor is expressed as Voltage Across Capacitor = 1/Capacitance Across Capacitor*int(Incident Current*x,x,0,Required Time). Here is an example- 22.5 = 1/2.4*int(12*x,x,0,3).

How to calculate Voltage in Capacitor?

With Capacitance Across Capacitor (C_c), Incident Current (I_i) & Required Time (t₂) we can find Voltage in Capacitor using the formula - Voltage Across Capacitor = 1/Capacitance Across Capacitor*int(Incident Current*x,x,0,Required Time). This formula also uses Definite Integral (int) function(s).

Can the Voltage in Capacitor be negative?

No, the Voltage in Capacitor, measured in Electric Potential cannot be negative.

Which unit is used to measure Voltage in Capacitor?

Voltage in Capacitor is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Voltage in Capacitor can be measured.

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Voltage in Capacitor Formula

Voltage in Capacitor Example

Voltage in Capacitor Solution

Voltage in Capacitor Formula Elements

Other formulas in Transient category

How to Evaluate Voltage in Capacitor?

FAQs on Voltage in Capacitor

Variable Name