Capacitance of Charging Circuit Calculator

✖Resistance of the charging circuit FC, is the resistance of the charging circuit.ⓘ Resistance of the Charging Circuit FC [R_fc]			+10% -10%
✖Frequency of charging FC, is the frequency at which the circuit capacitor is charged.ⓘ Frequency of Charging FC [f_fc]			+10% -10%
✖Voltage at any time t FC, is the charging voltage in the circuit at any given time.ⓘ Voltage at any time t FC [V_fc]			+10% -10%
✖Voltage of power supply FC, is the voltage required to charge a given device within given time.ⓘ Voltage of Power Supply FC [V_s]			+10% -10%

✖Capacitance FC, is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance of Charging Circuit [C_fc]

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Formula

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Capacitance of Charging Circuit

Formula

`"C"_{"fc"} = -1/("R"_{"fc"}*"f"_{"fc"}*ln(1-"V"_{"fc"}/"V"_{"s"}))`

Example

`"6.220861F"=-1/("0.1805Ω"*"4cycle/s"*ln(1-"2V"/"10.02V"))`

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Capacitance of Charging Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
C_fc = -1/(R_fc*f_fc*ln(1-V_fc/V_s))
This formula uses 1 Functions, 5 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Capacitance FC - (Measured in Farad) - Capacitance FC, is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Resistance of the Charging Circuit FC - (Measured in Ohm) - Resistance of the charging circuit FC, is the resistance of the charging circuit.
Frequency of Charging FC - (Measured in Hertz) - Frequency of charging FC, is the frequency at which the circuit capacitor is charged.
Voltage at any time t FC - (Measured in Volt) - Voltage at any time t FC, is the charging voltage in the circuit at any given time.
Voltage of Power Supply FC - (Measured in Volt) - Voltage of power supply FC, is the voltage required to charge a given device within given time.

STEP 1: Convert Input(s) to Base Unit

Resistance of the Charging Circuit FC: 0.1805 Ohm --> 0.1805 Ohm No Conversion Required
Frequency of Charging FC: 4 Cycle per Second --> 4 Hertz (Check conversion here)
Voltage at any time t FC: 2 Volt --> 2 Volt No Conversion Required
Voltage of Power Supply FC: 10.02 Volt --> 10.02 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_fc = -1/(R_fc*f_fc*ln(1-V_fc/V_s)) --> -1/(0.1805*4*ln(1-2/10.02))

Evaluating ... ...

C_fc = 6.22086092490912

STEP 3: Convert Result to Output's Unit

6.22086092490912 Farad --> No Conversion Required

FINAL ANSWER

6.22086092490912 ≈ 6.220861 Farad <-- Capacitance FC

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Unconventional machining processes » Electro Discharge Machining (EDM) » System Analysis in EDM » Relaxation Circuit used for Generating Pulses in EDM » Frequency of Charging » Capacitance of Charging Circuit

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 5 Frequency of Charging Calculators

Charging Voltage from Resistance Charging Circuit

Go Voltage at any time t FC = Voltage of Power Supply FC*(1-exp(-1/(Resistance of the Charging Circuit FC*Capacitance FC*Frequency of Charging FC)))

Supply Voltage

Go Voltage of Power Supply FC = Voltage at any time t FC/(1-exp(-1/(Resistance of the Charging Circuit FC*Capacitance FC*Frequency of Charging FC)))

Resistance of Charging Circuit EDM

Go Resistance of the Charging Circuit FC = -1/(Frequency of Charging FC*Capacitance FC*ln(1-Voltage at any time t FC/Voltage of Power Supply FC))

Capacitance of Charging Circuit

Go 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))

Frequency of Charging

Go Frequency of Charging FC = -1/(Resistance of the Charging Circuit FC*Capacitance FC*ln(1-Voltage at any time t FC/Voltage of Power Supply FC))

Capacitance of Charging Circuit 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))
C_fc = -1/(R_fc*f_fc*ln(1-V_fc/V_s))

How the spark is produced in Electric Discharge Machining ?

A typical circuit used for supplying the power to an EDM machine is named as the relaxation circuit. The circuit consists of a DC power source, which charges the capacitor ‘C’ across a resistance ‘Rc’. Initially when the capacitor is in the uncharged condition, when the power supply is on with a voltage of Vo, a heavy current, ic, will flow in the circuit as shown to charge the capacitor.The relaxation circuit as explained above was used in the early EDM machines. They are limited to the low material removal rates for fine finish, which limits its application. This can be explained from the fact that the time spent on charging the capacitor is quite large during which time, no machining can actually take place. Thus the material removal rates are low.

How to Calculate Capacitance of Charging Circuit?

Capacitance of Charging Circuit calculator 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 calculate 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 calculate Capacitance of Charging Circuit using this online calculator? To use this online calculator 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. Here is how the Capacitance of Charging Circuit calculation can be explained with given input values -> 6.238141 = -1/(0.1805*4*ln(1-2/10.02)).

FAQ

What is Capacitance of Charging Circuit?

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 and is represented as C_fc = -1/(R_fc*f_fc*ln(1-V_fc/V_s)) or 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)). Resistance of the charging circuit FC, is the resistance of the charging circuit, Frequency of charging FC, is the frequency at which the circuit capacitor is charged, Voltage at any time t FC, is the charging voltage in the circuit at any given time & Voltage of power supply FC, is the voltage required to charge a given device within given time.

How to calculate Capacitance of Charging Circuit?

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 is calculated using 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 calculate Capacitance of Charging Circuit, you need 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). With our tool, you need to enter the respective value for Resistance of the Charging Circuit FC, Frequency of Charging FC, Voltage at any time t FC & Voltage of Power Supply FC and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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