Capacitance using Time Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitance = Time Constant/Resistance
C = τ/R
This formula uses 3 Variables
Variables Used
Capacitance - (Measured in Farad) - Capacitance is the capability of a material object or device to store electric charge. It is measured by the change in charge in response to a difference in electric potential.
Time Constant - (Measured in Second) - Time constant is the response representing the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).
STEP 1: Convert Input(s) to Base Unit
Time Constant: 21 Millisecond --> 0.021 Second (Check conversion ​here)
Resistance: 60 Ohm --> 60 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = τ/R --> 0.021/60
Evaluating ... ...
C = 0.00035
STEP 3: Convert Result to Output's Unit
0.00035 Farad -->350 Microfarad (Check conversion ​here)
FINAL ANSWER
350 Microfarad <-- Capacitance
(Calculation completed in 00.020 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Capacitance Calculators

Capacitance for Parallel RLC Circuit using Q Factor
​ LaTeX ​ Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
​ LaTeX ​ Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
Capacitance given Cut off Frequency
​ LaTeX ​ Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Capacitance using Time Constant
​ LaTeX ​ Go Capacitance = Time Constant/Resistance

AC Circuit Design Calculators

Capacitance for Parallel RLC Circuit using Q Factor
​ LaTeX ​ Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
​ LaTeX ​ Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
Capacitance given Cut off Frequency
​ LaTeX ​ Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Capacitance using Time Constant
​ LaTeX ​ Go Capacitance = Time Constant/Resistance

Capacitance using Time Constant Formula

​LaTeX ​Go
Capacitance = Time Constant/Resistance
C = τ/R

What is time constant τ in RLC circuit?

The time constant for the RC circuit when the capacitance is given is the time after which the voltage across a capacitor reaches its maximum value if the initial rate of rising of voltage is maintained.

How to Calculate Capacitance using Time Constant?

Capacitance using Time Constant calculator uses Capacitance = Time Constant/Resistance to calculate the Capacitance, Capacitance using Time Constant is given is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential. Capacitance is denoted by C symbol.

How to calculate Capacitance using Time Constant using this online calculator? To use this online calculator for Capacitance using Time Constant, enter Time Constant (τ) & Resistance (R) and hit the calculate button. Here is how the Capacitance using Time Constant calculation can be explained with given input values -> 3.5E+8 = 0.021/60.

FAQ

What is Capacitance using Time Constant?
Capacitance using Time Constant is given is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential and is represented as C = τ/R or Capacitance = Time Constant/Resistance. Time constant is the response representing the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate & Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).
How to calculate Capacitance using Time Constant?
Capacitance using Time Constant is given is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential is calculated using Capacitance = Time Constant/Resistance. To calculate Capacitance using Time Constant, you need Time Constant (τ) & Resistance (R). With our tool, you need to enter the respective value for Time Constant & Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Capacitance?
In this formula, Capacitance uses Time Constant & Resistance. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
  • Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
  • Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
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