Voltage in Capacitor Calculator

✖Capacitance Across Capacitor is defined as the how much charge it can store for a given voltage.ⓘ Capacitance Across Capacitor [C_c]			+10% -10%
✖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.ⓘ Incident Current [I_i]			+10% -10%
✖Required Time is the time required for 1 coulomb of charge to move from one point to the other.ⓘ Required Time [t₂]			+10% -10%

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

⎘ Copy

👎

Formula

✖

Voltage in Capacitor

Formula

`"V"_{"c"} = 1/"C"_{"c"}*int("I"_{"i"}*x,x,0,"t"_{"2"})`

Example

`"22.5V"=1/"2.4F"*int("12A"*x,x,0,"3s")`

Calculator

LaTeX

Reset

👍

Download Transmission Lines Formula PDF PDF Image

Voltage in Capacitor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Across Capacitor = 1/Capacitance Across Capacitor*int(Incident Current*x,x,0,Required Time)
V_c = 1/C_c*int(I_i*x,x,0,t₂)
This formula uses 1 Functions, 4 Variables

Functions Used

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., int(expr, arg, from, to)

Variables Used

Voltage Across Capacitor - (Measured in Volt) - Voltage Across Capacitor is the behavior of capacitors in electrical circuits, especially in transient conditions where voltages and currents are changing over time.
Capacitance Across Capacitor - (Measured in Farad) - Capacitance Across Capacitor is defined as the how much charge it can store for a given voltage.
Incident Current - (Measured in Ampere) - 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.
Required Time - (Measured in Second) - Required Time is the time required for 1 coulomb of charge to move from one point to the other.

STEP 1: Convert Input(s) to Base Unit

Capacitance Across Capacitor: 2.4 Farad --> 2.4 Farad No Conversion Required
Incident Current: 12 Ampere --> 12 Ampere No Conversion Required
Required Time: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = 1/C_c*int(I_i*x,x,0,t₂) --> 1/2.4*int(12*x,x,0,3)

Evaluating ... ...

V_c = 22.5

STEP 3: Convert Result to Output's Unit

22.5 Volt --> No Conversion Required

FINAL ANSWER

22.5 Volt <-- Voltage Across Capacitor

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Transmission Lines » Transient » Voltage in Capacitor

Credits

Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has created this Calculator and 50+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has verified this Calculator and 100+ more calculators!

< 25 Transient Calculators

Reflected Coefficient of Voltage (Line PL)

Go Reflection Coefficient of Voltage = ((2/Impedance of Primary Winding)/((1/Impedance of Primary Winding)+(1/Impedance of Secondary Winding)+(1/Impedance of Tertiary Winding)))-1

Incident Voltage using Reflected Voltage

Go Incident Voltage = Reflected Voltage*(Load Impedance+Characteristic Impedance)/(Load Impedance-Characteristic Impedance)

Reflected Voltage using Load Impedance

Go Reflected Voltage = Incident Voltage*(Load Impedance-Characteristic Impedance)/(Load Impedance+Characteristic Impedance)

Load Impedance using Reflected Current

Go Load Impedance = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage)

Incident Voltage using Transmitted Coefficient of Current-2 (Line PL)

Go Incident Voltage = Transmitted Voltage*Impedance of Primary Winding/(Transmission Coefficient of Current*Impedance of Secondary Winding)

Characteristic Impedance using Transmitted Current

Go Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted Current

Load Impedance using Reflected Coefficient of Current

Go Load Impedance = Characteristic Impedance*(1-Reflection Coefficient of Current)/(Reflection Coefficient of Current-1)

Load Impedance using Reflected Coefficient of Voltage

Go Load Impedance = Characteristic Impedance*(Reflection Coefficient of Voltage+1)/(1-Reflection Coefficient of Voltage)

Transmission Coefficient for Current

Go Transmission Coefficient of Current = Transmitted Current/Incident Current

Transmission Coefficient for Voltage

Go Transmission Coefficient of Voltage = Transmitted Voltage/Incident Voltage

Impedance-3 using Transmitted Current-3 (Line PL)

Go Impedance of Tertiary Winding = Transmitted Voltage/Transmitted Current

Reflected Voltage using Reflection Coefficient of Voltage

Go Reflected Voltage = Reflection Coefficient of Voltage*Incident Voltage

Reflection Coefficient for Voltage

Go Reflection Coefficient of Voltage = Reflected Voltage/Incident Voltage

Reflection Coefficient for Current

Go Reflection Coefficient of Current = Reflected Current/Incident Current

Reflected Current for Refracted Wave

Go Reflected Current = (-1)*Reflected Voltage/Characteristic Impedance

Reflected Voltage for Refracted Wave

Go Reflected Voltage = (-1)*Reflected Current*Characteristic Impedance

Characteristic Impedance (Line SC)

Go Characteristic Impedance = Incident Voltage/Incident Current

Incident Current for Incident Wave

Go Incident Current = Incident Voltage/Characteristic Impedance

Incident Voltage of Incident Wave

Go Incident Voltage = Incident Current*Characteristic Impedance

Incident Current using Reflected and Transmitted Current

Go Incident Current = Transmitted Current-Reflected Current

Incident Voltage using Reflected and Transmitted Voltage

Go Incident Voltage = Transmitted Voltage-Reflected Voltage

Reflected Voltage using Incident and Transmitted Voltage

Go Reflected Voltage = Transmitted Voltage-Incident Voltage

Transmitted Current Transmitted Wave

Go Transmitted Current = Transmitted Voltage/Load Impedance

Reflected Voltage (Line OC)

Go Reflected Voltage = (-1)*Incident Voltage

Incident Voltage using Transmitted Voltage (Load OC)

Go Incident Voltage = Transmitted Voltage/2

Voltage in Capacitor Formula

Voltage Across Capacitor = 1/Capacitance Across Capacitor*int(Incident Current*x,x,0,Required Time)
V_c = 1/C_c*int(I_i*x,x,0,t₂)

What is the Voltage Across Capacitor?

The integral of the current over time gives you the total charge accumulated on the capacitor up to a certain time. The sign of the charge reflects the direction of charge flow, with positive charge accumulating on one plate and negative charge on the other.

How to Calculate Voltage in Capacitor?

Voltage in Capacitor calculator uses Voltage Across Capacitor = 1/Capacitance Across Capacitor*int(Incident Current*x,x,0,Required Time) to calculate 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 calculate Voltage in Capacitor using this online calculator? To use this online calculator for Voltage in Capacitor, enter Capacitance Across Capacitor (C_c), Incident Current (I_i) & Required Time (t₂) and hit the calculate button. Here is how the Voltage in Capacitor calculation can be explained with given input values -> 22.5 = 1/2.4*int(12*x,x,0,3).

FAQ

What is Voltage in Capacitor?

The Voltage in Capacitor formula is defined as the charge stored in a capacitor is directly proportional to the voltage across it and is represented as V_c = 1/C_c*int(I_i*x,x,0,t₂) or Voltage Across Capacitor = 1/Capacitance Across Capacitor*int(Incident Current*x,x,0,Required Time). Capacitance Across Capacitor is defined as the how much charge it can store for a given voltage, 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 & Required Time is the time required for 1 coulomb of charge to move from one point to the other.

How to calculate Voltage in Capacitor?

The Voltage in Capacitor formula is defined as the charge stored in a capacitor is directly proportional to the voltage across it is calculated using Voltage Across Capacitor = 1/Capacitance Across Capacitor*int(Incident Current*x,x,0,Required Time). To calculate Voltage in Capacitor, you need Capacitance Across Capacitor (C_c), Incident Current (I_i) & Required Time (t₂). With our tool, you need to enter the respective value for Capacitance Across Capacitor, Incident Current & Required Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search