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Capacitance given Cut off Frequency Formula

GoCapacitance for Parallel RLC Circuit using Q Factor Formula

GoCapacitance for Series RLC Circuit given Q Factor Formula

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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. Check FAQs

C = \frac{1}{2 \cdot R \cdot π \cdot f c}

C - Capacitance?R - Resistance?f_c - Cut-off Frequency?π - Archimedes' constant?

Capacitance given Cut off Frequency Example

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Here is how the Capacitance given Cut off Frequency equation looks like with Values.

Here is how the Capacitance given Cut off Frequency equation looks like with Units.

Here is how the Capacitance given Cut off Frequency equation looks like.

350.4072 = \frac{1}{2 \cdot 60 \cdot 3.1416 \cdot 7.57}

350.4072μF = \frac{1}{2 \cdot 60Ω \cdot 3.1416 \cdot 7.57Hz}

350.4072 = \frac{1}{2 \cdot 60 \cdot 3.1416 \cdot 7.57}

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Capacitance given Cut off Frequency Solution

Follow our step by step solution on how to calculate Capacitance given Cut off Frequency?

FIRST Step Consider the formula

C = \frac{1}{2 \cdot R \cdot π \cdot f c}

Next Step Substitute values of Variables

∴

C = \frac{1}{2 \cdot 60Ω \cdot π \cdot 7.57Hz}

Next Step Substitute values of Constants

∴

C = \frac{1}{2 \cdot 60Ω \cdot 3.1416 \cdot 7.57Hz}

Next Step Prepare to Evaluate

∴

C = \frac{1}{2 \cdot 60 \cdot 3.1416 \cdot 7.57}

Next Step Evaluate

∴

C = 0.000350407184262209F

Next Step Convert to Output's Unit

∴

C = 350.407184262209μF

LAST Step Rounding Answer

∴

C = 350.4072μF

Capacitance given Cut off Frequency Formula Elements

Variables

Constants

Capacitance

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.

Symbol: C

Measurement: CapacitanceUnit: μF

Note: Value can be positive or negative.

Formulas to find Capacitance

Resistance

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).

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance

Cut-off Frequency

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.

Symbol: f_c

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Cut-off Frequency

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Capacitance

Go Capacitance for Parallel RLC Circuit using Q Factor

C = \frac{L \cdot {Q ||}^{2}}{R^{2}}

Go Capacitance for Series RLC Circuit given Q Factor

C = \frac{L}{{Q se}^{2} \cdot R^{2}}

Go Capacitance using Time Constant

C = \frac{τ}{R}

Other formulas in Capacitance category

Go Electric Current using Reactive Power

I = \frac{Q}{V \cdot \sin (Φ)}

Go Electric Current using Real Power

I = \frac{P}{V \cdot \cos (Φ)}

Go Current using Power Factor

I = \frac{P}{cosΦ \cdot V}

Go Current using Complex Power

I = \sqrt{\frac{S}{Z}}

How to Evaluate Capacitance given Cut off Frequency?

Capacitance given Cut off Frequency evaluator uses Capacitance = 1/(2*Resistance*pi*Cut-off Frequency) to evaluate 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 evaluate Capacitance given Cut off Frequency using this online evaluator? To use this online evaluator for Capacitance given Cut off Frequency, enter Resistance (R) & Cut-off Frequency (f_c) and hit the calculate button.

FAQs on Capacitance given Cut off Frequency

What is the formula to find Capacitance given Cut off Frequency?

The formula of Capacitance given Cut off Frequency is expressed as Capacitance = 1/(2*Resistance*pi*Cut-off Frequency). Here is an example- 3.5E+8 = 1/(2*60*pi*7.57).

How to calculate Capacitance given Cut off Frequency?

With Resistance (R) & Cut-off Frequency (f_c) we can find Capacitance given Cut off Frequency using the formula - Capacitance = 1/(2*Resistance*pi*Cut-off Frequency). This formula also uses Archimedes' constant .

What are the other ways to Calculate Capacitance?

Here are the different ways to Calculate Capacitance-

Capacitance=(Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance=Inductance/(Series RLC Quality Factor^2*Resistance^2)
Capacitance=Time Constant/Resistance

Can the Capacitance given Cut off Frequency be negative?

Yes, the Capacitance given Cut off Frequency, measured in Capacitance can be negative.

Which unit is used to measure Capacitance given Cut off Frequency?

Capacitance given Cut off Frequency is usually measured using the Microfarad[μF] for Capacitance. Farad[μF], Kilofarad[μF], Millifarad[μF] are the few other units in which Capacitance given Cut off Frequency can be measured.

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Capacitance given Cut off Frequency Formula

​GoCapacitance for Parallel RLC Circuit using Q Factor Formula

​GoCapacitance for Series RLC Circuit given Q Factor Formula

Capacitance given Cut off Frequency Example

Capacitance given Cut off Frequency Solution

Capacitance given Cut off Frequency Formula Elements

Other Formulas to find Capacitance

Other formulas in Capacitance category

How to Evaluate Capacitance given Cut off Frequency?

FAQs on Capacitance given Cut off Frequency

Variable Name

GoCapacitance for Parallel RLC Circuit using Q Factor Formula

GoCapacitance for Series RLC Circuit given Q Factor Formula