Resistance using Time Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance = Time Constant/Capacitance
R = τ/C
This formula uses 3 Variables
Variables Used
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).
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.
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.
STEP 1: Convert Input(s) to Base Unit
Time Constant: 21 Millisecond --> 0.021 Second (Check conversion ​here)
Capacitance: 350 Microfarad --> 0.00035 Farad (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = τ/C --> 0.021/0.00035
Evaluating ... ...
R = 60
STEP 3: Convert Result to Output's Unit
60 Ohm --> No Conversion Required
FINAL ANSWER
60 Ohm <-- Resistance
(Calculation completed in 00.007 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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7 Impedance Calculators

Resistance for Series RLC Circuit given Q Factor
​ Go Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))
Resistance for Parallel RLC Circuit using Q Factor
​ Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
Resistance using Time Constant
​ Go Resistance = Time Constant/Capacitance
Impedance given Complex Power and Current
​ Go Impedance = Complex Power/(Current^2)
Impedance given Complex Power and Voltage
​ Go Impedance = (Voltage^2)/Complex Power
Resistance using Power Factor
​ Go Resistance = Impedance*Power Factor
Impedance using Power Factor
​ Go Impedance = Resistance/Power Factor

25 AC Circuit Design Calculators

Resistance for Series RLC Circuit given Q Factor
​ Go Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))
Line to Neutral Current using Reactive Power
​ Go Line to Neutral Current = Reactive Power/(3*Line to Neutral Voltage*sin(Phase Difference))
RMS Current using Reactive Power
​ Go Root Mean Square Current = Reactive Power/(Root Mean Square Voltage*sin(Phase Difference))
Line to Neutral Current using Real Power
​ Go Line to Neutral Current = Real Power/(3*cos(Phase Difference)*Line to Neutral Voltage)
RMS Current using Real Power
​ Go Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))
Resistance for Parallel RLC Circuit using Q Factor
​ Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
Resonant Frequency for RLC circuit
​ Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Electric Current using Reactive Power
​ Go Current = Reactive Power/(Voltage*sin(Phase Difference))
Electric Current using Real Power
​ Go Current = Real Power/(Voltage*cos(Phase Difference))
Power in Single-Phase AC Circuits
​ Go Real Power = Voltage*Current*cos(Phase Difference)
Inductance for Parallel RLC Circuit using Q Factor
​ Go Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)
Capacitance for Parallel RLC Circuit using Q Factor
​ Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
​ Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
Inductance for Series RLC Circuit given Q Factor
​ Go Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2
Capacitance given Cut off Frequency
​ Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Cut Off Frequency for RC circuit
​ Go Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)
Complex Power
​ Go Complex Power = sqrt(Real Power^2+Reactive Power^2)
Complex Power given Power Factor
​ Go Complex Power = Real Power/cos(Phase Difference)
Current using Power Factor
​ Go Current = Real Power/(Power Factor*Voltage)
Current using Complex Power
​ Go Current = sqrt(Complex Power/Impedance)
Frequency using Time Period
​ Go Natural Frequency = 1/(2*pi*Time Period)
Capacitance using Time Constant
​ Go Capacitance = Time Constant/Resistance
Resistance using Time Constant
​ Go Resistance = Time Constant/Capacitance
Impedance given Complex Power and Voltage
​ Go Impedance = (Voltage^2)/Complex Power
Impedance given Complex Power and Current
​ Go Impedance = Complex Power/(Current^2)

Resistance using Time Constant Formula

Resistance = Time Constant/Capacitance
R = τ/C

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 Resistance using Time Constant?

Resistance using Time Constant calculator uses Resistance = Time Constant/Capacitance to calculate the Resistance, Resistance using Time Constant is the opposition that a substance offers to the flow of electric current. It is represented by the uppercase letter R. The standard unit of resistance is the ohm, sometimes written out as a word, and sometimes symbolized by the uppercase Greek letter omega. Resistance is denoted by R symbol.

How to calculate Resistance using Time Constant using this online calculator? To use this online calculator for Resistance using Time Constant, enter Time Constant (τ) & Capacitance (C) and hit the calculate button. Here is how the Resistance using Time Constant calculation can be explained with given input values -> 60 = 0.021/0.00035.

FAQ

What is Resistance using Time Constant?
Resistance using Time Constant is the opposition that a substance offers to the flow of electric current. It is represented by the uppercase letter R. The standard unit of resistance is the ohm, sometimes written out as a word, and sometimes symbolized by the uppercase Greek letter omega and is represented as R = τ/C or Resistance = Time Constant/Capacitance. 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 & 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.
How to calculate Resistance using Time Constant?
Resistance using Time Constant is the opposition that a substance offers to the flow of electric current. It is represented by the uppercase letter R. The standard unit of resistance is the ohm, sometimes written out as a word, and sometimes symbolized by the uppercase Greek letter omega is calculated using Resistance = Time Constant/Capacitance. To calculate Resistance using Time Constant, you need Time Constant (τ) & Capacitance (C). With our tool, you need to enter the respective value for Time Constant & Capacitance 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 Resistance?
In this formula, Resistance uses Time Constant & Capacitance. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Resistance = Impedance*Power Factor
  • Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
  • Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))
  • Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))
  • Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
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