Capacitance given Cut off Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
C = 1/(2*R*pi*fc)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
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).
Cut-off Frequency - (Measured in Hertz) - A Cut-off Frequency is a boundary in a system's frequency response at which energy flowing through the system begins to be reduced rather than passing through.
STEP 1: Convert Input(s) to Base Unit
Resistance: 60 Ohm --> 60 Ohm No Conversion Required
Cut-off Frequency: 7.57 Hertz --> 7.57 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = 1/(2*R*pi*fc) --> 1/(2*60*pi*7.57)
Evaluating ... ...
C = 0.000350407184262209
STEP 3: Convert Result to Output's Unit
0.000350407184262209 Farad -->350.407184262209 Microfarad (Check conversion here)
FINAL ANSWER
350.407184262209 350.4072 Microfarad <-- Capacitance
(Calculation completed in 00.020 seconds)

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4 Capacitance Calculators

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)
Capacitance given Cut off Frequency
Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Capacitance using Time Constant
Go Capacitance = Time Constant/Resistance

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)

Capacitance given Cut off Frequency Formula

Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
C = 1/(2*R*pi*fc)

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 given Cut off Frequency?

Capacitance given Cut off Frequency calculator uses Capacitance = 1/(2*Resistance*pi*Cut-off Frequency) to calculate the Capacitance, Capacitance given Cut off Frequency 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 given Cut off Frequency using this online calculator? To use this online calculator for Capacitance given Cut off Frequency, enter Resistance (R) & Cut-off Frequency (fc) and hit the calculate button. Here is how the Capacitance given Cut off Frequency calculation can be explained with given input values -> 3.5E+8 = 1/(2*60*pi*7.57).

FAQ

What is Capacitance given Cut off Frequency?
Capacitance given Cut off Frequency is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential and is represented as C = 1/(2*R*pi*fc) or Capacitance = 1/(2*Resistance*pi*Cut-off Frequency). 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) & A Cut-off Frequency is a boundary in a system's frequency response at which energy flowing through the system begins to be reduced rather than passing through.
How to calculate Capacitance given Cut off Frequency?
Capacitance given Cut off Frequency is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential is calculated using Capacitance = 1/(2*Resistance*pi*Cut-off Frequency). To calculate Capacitance given Cut off Frequency, you need Resistance (R) & Cut-off Frequency (fc). With our tool, you need to enter the respective value for Resistance & Cut-off Frequency 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 Resistance & Cut-off Frequency. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Capacitance = Time Constant/Resistance
  • Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
  • Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
  • Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
  • Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
  • Capacitance = Time Constant/Resistance
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