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)
Vc = 1/Cc*int(Ii*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
Vc = 1/Cc*int(Ii*x,x,0,t2) --> 1/2.4*int(12*x,x,0,3)
Evaluating ... ...
Vc = 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 00.022 seconds)

Credits

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Created by Dipanjona Mallick
Heritage Insitute of technology (HITK), Kolkata
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GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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Transient Calculators

Load Impedance using Reflected Coefficient of Current
​ LaTeX ​ Go Load Impedance = Characteristic Impedance*(1-Reflection Coefficient of Current)/(Reflection Coefficient of Current-1)
Load Impedance using Reflected Coefficient of Voltage
​ LaTeX ​ Go Load Impedance = Characteristic Impedance*(Reflection Coefficient of Voltage+1)/(1-Reflection Coefficient of Voltage)
Characteristic Impedance (Line SC)
​ LaTeX ​ Go Characteristic Impedance = Incident Voltage/Incident Current
Incident Voltage using Transmitted Voltage (Load OC)
​ LaTeX ​ Go Incident Voltage = Transmitted Voltage/2

Voltage in Capacitor Formula

​LaTeX ​Go
Voltage Across Capacitor = 1/Capacitance Across Capacitor*int(Incident Current*x,x,0,Required Time)
Vc = 1/Cc*int(Ii*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 Vc symbol.

How to calculate Voltage in Capacitor using this online calculator? To use this online calculator for Voltage in Capacitor, enter Capacitance Across Capacitor (Cc), Incident Current (Ii) & 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 Vc = 1/Cc*int(Ii*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 (Cc), Incident Current (Ii) & 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.
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