Charging Voltage from Resistance Charging Circuit Calculator

✖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%
✖Resistance of the charging circuit FC, is the resistance of the charging circuit.ⓘ Resistance of the Charging Circuit FC [R_fc]			+10% -10%
✖Capacitance FC, is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance FC [C_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.ⓘ Charging Voltage from Resistance Charging Circuit [V_fc]

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Formula

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Charging Voltage from Resistance Charging Circuit

Formula

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

Example

`"2.000247V"="10.02V"*(1-exp(-1/("0.1805Ω"*"6.22F"*"4cycle/s")))`

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Charging Voltage from Resistance Charging Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

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.
Resistance of the Charging Circuit FC - (Measured in Ohm) - Resistance of the charging circuit FC, is the resistance of the charging circuit.
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.
Frequency of Charging FC - (Measured in Hertz) - Frequency of charging FC, is the frequency at which the circuit capacitor is charged.

STEP 1: Convert Input(s) to Base Unit

Voltage of Power Supply FC: 10.02 Volt --> 10.02 Volt No Conversion Required
Resistance of the Charging Circuit FC: 0.1805 Ohm --> 0.1805 Ohm No Conversion Required
Capacitance FC: 6.22 Farad --> 6.22 Farad No Conversion Required
Frequency of Charging FC: 4 Cycle per Second --> 4 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_fc = V_s*(1-exp(-1/(R_fc*C_fc*f_fc))) --> 10.02*(1-exp(-1/(0.1805*6.22*4)))

Evaluating ... ...

V_fc = 2.00024714673384

STEP 3: Convert Result to Output's Unit

2.00024714673384 Volt --> No Conversion Required

FINAL ANSWER

2.00024714673384 ≈ 2.000247 Volt <-- Voltage at any time t 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 » Charging Voltage from Resistance 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))

Charging Voltage from Resistance Charging Circuit Formula

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)))
V_fc = V_s*(1-exp(-1/(R_fc*C_fc*f_fc)))

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 Charging Voltage from Resistance Charging Circuit?

Charging Voltage from Resistance Charging Circuit calculator uses 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))) to calculate the Voltage at any time t FC, Charging voltage from resistance charging circuit formula is defined as the voltage at which the capacitor of charging circuit is being charged. Voltage at any time t FC is denoted by V_fc symbol.

How to calculate Charging Voltage from Resistance Charging Circuit using this online calculator? To use this online calculator for Charging Voltage from Resistance Charging Circuit, enter Voltage of Power Supply FC (V_s), Resistance of the Charging Circuit FC (R_fc), Capacitance FC (C_fc) & Frequency of Charging FC (f_fc) and hit the calculate button. Here is how the Charging Voltage from Resistance Charging Circuit calculation can be explained with given input values -> 2.005206 = 10.02*(1-exp(-1/(0.1805*6.22*4))).

FAQ

What is Charging Voltage from Resistance Charging Circuit?

Charging voltage from resistance charging circuit formula is defined as the voltage at which the capacitor of charging circuit is being charged and is represented as V_fc = V_s*(1-exp(-1/(R_fc*C_fc*f_fc))) or 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))). Voltage of power supply FC, is the voltage required to charge a given device within given time, Resistance of the charging circuit FC, is the resistance of the charging circuit, Capacitance FC, is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential & Frequency of charging FC, is the frequency at which the circuit capacitor is charged.

How to calculate Charging Voltage from Resistance Charging Circuit?

Charging voltage from resistance charging circuit formula is defined as the voltage at which the capacitor of charging circuit is being charged is calculated using 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))). To calculate Charging Voltage from Resistance Charging Circuit, you need Voltage of Power Supply FC (V_s), Resistance of the Charging Circuit FC (R_fc), Capacitance FC (C_fc) & Frequency of Charging FC (f_fc). With our tool, you need to enter the respective value for Voltage of Power Supply FC, Resistance of the Charging Circuit FC, Capacitance FC & Frequency of Charging 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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