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Capacitance of Charging Circuit Formula

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Capacitance FC, is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential. Check FAQs

C fc = - \frac{1}{R fc \cdot f fc \cdot \ln (1 - \frac{V fc}{V s})}

C_fc - Capacitance FC?R_fc - Resistance of the Charging Circuit FC?f_fc - Frequency of Charging FC?V_fc - Voltage at any time t FC?V_s - Voltage of Power Supply FC?

Capacitance of Charging Circuit Example

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Here is how the Capacitance of Charging Circuit equation looks like with Values.

Here is how the Capacitance of Charging Circuit equation looks like with Units.

Here is how the Capacitance of Charging Circuit equation looks like.

6.2209 = - \frac{1}{0.1805 \cdot 4 \cdot \ln (1 - \frac{2}{10.02})}

6.2209F = - \frac{1}{0.1805Ω \cdot 4cycle/s \cdot \ln (1 - \frac{2V}{10.02V})}

6.2209 = - \frac{1}{0.1805 \cdot 4 \cdot \ln (1 - \frac{2}{10.02})}

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Capacitance of Charging Circuit Solution

Follow our step by step solution on how to calculate Capacitance of Charging Circuit?

FIRST Step Consider the formula

C fc = - \frac{1}{R fc \cdot f fc \cdot \ln (1 - \frac{V fc}{V s})}

Next Step Substitute values of Variables

∴

C fc = - \frac{1}{0.1805Ω \cdot 4cycle/s \cdot \ln (1 - \frac{2V}{10.02V})}

Next Step Convert Units

∴

C fc = - \frac{1}{0.1805Ω \cdot 4Hz \cdot \ln (1 - \frac{2V}{10.02V})}

Next Step Prepare to Evaluate

∴

C fc = - \frac{1}{0.1805 \cdot 4 \cdot \ln (1 - \frac{2}{10.02})}

Next Step Evaluate

∴

C fc = 6.22086092490912F

LAST Step Rounding Answer

∴

C fc = 6.2209F

Capacitance of Charging Circuit Formula Elements

Variables

Functions

Capacitance FC

Capacitance FC, is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

Symbol: C_fc

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Capacitance FC

Resistance of the Charging Circuit FC

Resistance of the charging circuit FC, is the resistance of the charging circuit.

Symbol: R_fc

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance of the Charging Circuit FC

Frequency of Charging FC

Frequency of charging FC, is the frequency at which the circuit capacitor is charged.

Symbol: f_fc

Measurement: FrequencyUnit: cycle/s

Note: Value can be positive or negative.

Formulas to find Frequency of Charging FC

Voltage at any time t FC

Voltage at any time t FC, is the charging voltage in the circuit at any given time.

Symbol: V_fc

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage at any time t FC

Voltage of Power Supply FC

Voltage of power supply FC, is the voltage required to charge a given device within given time.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage of Power Supply FC

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Frequency of Charging category

Go Frequency of Charging

f fc = - \frac{1}{R fc \cdot C fc \cdot \ln (1 - \frac{V fc}{V s})}

Go Resistance of Charging Circuit EDM

R fc = - \frac{1}{f fc \cdot C fc \cdot \ln (1 - \frac{V fc}{V s})}

Go Charging Voltage from Resistance Charging Circuit

V fc = V s \cdot (1 - \exp (- \frac{1}{R fc \cdot C fc \cdot f fc}))

Go Supply Voltage

V s = \frac{V fc}{1 - \exp (- \frac{1}{R fc \cdot C fc \cdot f fc})}

How to Evaluate Capacitance of Charging Circuit?

Capacitance of Charging Circuit evaluator uses Capacitance FC = -1/(Resistance of the Charging Circuit FC*Frequency of Charging FC*ln(1-Voltage at any time t FC/Voltage of Power Supply FC)) to evaluate the Capacitance FC, The Capacitance of charging circuit formula is defined as the equivalent capacitance of all the capacitors connected in the relaxation circuit of EDM to produce spark. Capacitance FC is denoted by C_fc symbol.

How to evaluate Capacitance of Charging Circuit using this online evaluator? To use this online evaluator for Capacitance of Charging Circuit, enter Resistance of the Charging Circuit FC (R_fc), Frequency of Charging FC (f_fc), Voltage at any time t FC (V_fc) & Voltage of Power Supply FC (V_s) and hit the calculate button.

FAQs on Capacitance of Charging Circuit

What is the formula to find Capacitance of Charging Circuit?

The formula of Capacitance of Charging Circuit is expressed as Capacitance FC = -1/(Resistance of the Charging Circuit FC*Frequency of Charging FC*ln(1-Voltage at any time t FC/Voltage of Power Supply FC)). Here is an example- 6.238141 = -1/(0.1805*4*ln(1-2/10.02)).

How to calculate Capacitance of Charging Circuit?

With Resistance of the Charging Circuit FC (R_fc), Frequency of Charging FC (f_fc), Voltage at any time t FC (V_fc) & Voltage of Power Supply FC (V_s) we can find Capacitance of Charging Circuit using the formula - Capacitance FC = -1/(Resistance of the Charging Circuit FC*Frequency of Charging FC*ln(1-Voltage at any time t FC/Voltage of Power Supply FC)). This formula also uses Natural Logarithm (ln) function(s).

Can the Capacitance of Charging Circuit be negative?

No, the Capacitance of Charging Circuit, measured in Capacitance cannot be negative.

Which unit is used to measure Capacitance of Charging Circuit?

Capacitance of Charging Circuit is usually measured using the Farad[F] for Capacitance. Kilofarad[F], Millifarad[F], Microfarad[F] are the few other units in which Capacitance of Charging Circuit can be measured.

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Capacitance of Charging Circuit Formula

Capacitance of Charging Circuit Example

Capacitance of Charging Circuit Solution

Capacitance of Charging Circuit Formula Elements

Other formulas in Frequency of Charging category

How to Evaluate Capacitance of Charging Circuit?

FAQs on Capacitance of Charging Circuit

Variable Name