Resistance of Discharging Circuit from Capacitance Calculator

✖Time elapsed for Voltage Discharge after a particular task is started.ⓘ Time Elapsed for Voltage Discharge [t]			+10% -10%
✖Capacitance of voltage discharge is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance of Voltage Discharge [C]			+10% -10%
✖Discharge Voltage of EDM is the voltage across discharging circuit of EDM.ⓘ Discharge Voltage of EDM [V_dis]			+10% -10%
✖Voltage at any time in Voltage Discharge is the charging voltage in the circuit at any given time.ⓘ Voltage at any Time in Voltage Discharge [V_c]			+10% -10%

✖Resistance of Discharging voltage is the equivalent resistances of all the components of the circuit.ⓘ Resistance of Discharging Circuit from Capacitance [R_dv]

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Resistance of Discharging Circuit from Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance of Discharging Voltage = -Time Elapsed for Voltage Discharge/(Capacitance of Voltage Discharge*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge))
R_dv = -t/(C*ln(V_dis/V_c))
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

Resistance of Discharging Voltage - (Measured in Ohm) - Resistance of Discharging voltage is the equivalent resistances of all the components of the circuit.
Time Elapsed for Voltage Discharge - (Measured in Second) - Time elapsed for Voltage Discharge after a particular task is started.
Capacitance of Voltage Discharge - (Measured in Farad) - Capacitance of voltage discharge is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Discharge Voltage of EDM - (Measured in Volt) - Discharge Voltage of EDM is the voltage across discharging circuit of EDM.
Voltage at any Time in Voltage Discharge - (Measured in Volt) - Voltage at any time in Voltage Discharge is the charging voltage in the circuit at any given time.

STEP 1: Convert Input(s) to Base Unit

Time Elapsed for Voltage Discharge: 12 Second --> 12 Second No Conversion Required
Capacitance of Voltage Discharge: 40 Farad --> 40 Farad No Conversion Required
Discharge Voltage of EDM: 0.76 Volt --> 0.76 Volt No Conversion Required
Voltage at any Time in Voltage Discharge: 2 Volt --> 2 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_dv = -t/(C*ln(V_dis/V_c)) --> -12/(40*ln(0.76/2))

Evaluating ... ...

R_dv = 0.310050591842716

STEP 3: Convert Result to Output's Unit

0.310050591842716 Ohm --> No Conversion Required

FINAL ANSWER

0.310050591842716 ≈ 0.310051 Ohm <-- Resistance of Discharging Voltage

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Unconventional machining processes » Electro Discharge Machining (EDM) » System Analysis in EDM » Discharge Circuit » Discharging Voltage » Resistance of Discharging Circuit from Capacitance

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

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< Discharging Voltage Calculators

Voltage of Charging Circuit

LaTeX Go Voltage at any Time in Voltage Discharge = Discharge Voltage of EDM/exp(-Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*Capacitance of Voltage Discharge))

Discharging Voltage

LaTeX Go Discharge Voltage of EDM = Voltage at any Time in Voltage Discharge*exp(-Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*Capacitance of Voltage Discharge))

Resistance of Discharging Circuit from Capacitance

LaTeX Go Resistance of Discharging Voltage = -Time Elapsed for Voltage Discharge/(Capacitance of Voltage Discharge*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge))

Time Elapsed

LaTeX Go Time Elapsed for Voltage Discharge = -Resistance of Discharging Voltage*Capacitance of Voltage Discharge*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge)

Resistance of Discharging Circuit from Capacitance Formula

LaTeX Go

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 Resistance of Discharging Circuit from Capacitance?

Resistance of Discharging Circuit from Capacitance calculator uses Resistance of Discharging Voltage = -Time Elapsed for Voltage Discharge/(Capacitance of Voltage Discharge*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge)) to calculate the Resistance of Discharging Voltage, The Resistance of discharging circuit from capacitance formula is defined as the sum of inductor resistance and resistance of the sparking load in the discharging circuit. Resistance of Discharging Voltage is denoted by R_dv symbol.

How to calculate Resistance of Discharging Circuit from Capacitance using this online calculator? To use this online calculator for Resistance of Discharging Circuit from Capacitance, enter Time Elapsed for Voltage Discharge (t), Capacitance of Voltage Discharge (C), Discharge Voltage of EDM (V_dis) & Voltage at any Time in Voltage Discharge (V_c) and hit the calculate button. Here is how the Resistance of Discharging Circuit from Capacitance calculation can be explained with given input values -> 0.304718 = -12/(40*ln(0.76/2)).

FAQ

What is Resistance of Discharging Circuit from Capacitance?

The Resistance of discharging circuit from capacitance formula is defined as the sum of inductor resistance and resistance of the sparking load in the discharging circuit and is represented as R_dv = -t/(C*ln(V_dis/V_c)) or Resistance of Discharging Voltage = -Time Elapsed for Voltage Discharge/(Capacitance of Voltage Discharge*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge)). Time elapsed for Voltage Discharge after a particular task is started, Capacitance of voltage discharge is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential, Discharge Voltage of EDM is the voltage across discharging circuit of EDM & Voltage at any time in Voltage Discharge is the charging voltage in the circuit at any given time.

How to calculate Resistance of Discharging Circuit from Capacitance?

The Resistance of discharging circuit from capacitance formula is defined as the sum of inductor resistance and resistance of the sparking load in the discharging circuit is calculated using Resistance of Discharging Voltage = -Time Elapsed for Voltage Discharge/(Capacitance of Voltage Discharge*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge)). To calculate Resistance of Discharging Circuit from Capacitance, you need Time Elapsed for Voltage Discharge (t), Capacitance of Voltage Discharge (C), Discharge Voltage of EDM (V_dis) & Voltage at any Time in Voltage Discharge (V_c). With our tool, you need to enter the respective value for Time Elapsed for Voltage Discharge, Capacitance of Voltage Discharge, Discharge Voltage of EDM & Voltage at any Time in Voltage Discharge 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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