Capacitance given Cut off Frequency Calculator

✖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).ⓘ Resistance [R]			+10% -10%
✖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.ⓘ Cut-off Frequency [f_c]			+10% -10%

✖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.ⓘ Capacitance given Cut off Frequency [C]

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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*f_c)
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*f_c) --> 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 00.021 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 given Cut off Frequency Formula

LaTeX Go

Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
C = 1/(2*R*pi*f_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 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 (f_c) 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*f_c) 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 (f_c). 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 3 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

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