Resistance of Charging Circuit Calculator

✖Voltage of power supply for edm, is the voltage required to charge a given device within given time.ⓘ Voltage of Power Supply for EDM [V_cc]			+10% -10%
✖Time elapsed for edm, time elapsed after a particular task is started.ⓘ Time Elapsed for EDM [t_cc]			+10% -10%
✖Time Constant for edm, of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.ⓘ Time Constant for EDM [𝜏_cc]			+10% -10%
✖Charging current at any time for edm (t) is the current at any given instance of time.ⓘ Charging Current at any Time for EDM [i_c]			+10% -10%

✖Resistance of the charging circuit for edm, is the resistance of the charging circuit.ⓘ Resistance of Charging Circuit [R_cc]

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Formula

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Resistance of Charging Circuit

Formula

`"R"_{"cc"} = ("V"_{"cc"}*exp(-"t"_{"cc"}/"𝜏"_{"cc"}))/"i"_{"c"}`

Example

`"0.180006Ω"=("1.2V"*exp(-"8.88s"/"100.0s"))/"6.1A"`

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Resistance of Charging Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance of the Charging Circuit for EDM = (Voltage of Power Supply for EDM*exp(-Time Elapsed for EDM/Time Constant for EDM))/Charging Current at any Time for EDM
R_cc = (V_cc*exp(-t_cc/𝜏_cc))/i_c
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

Resistance of the Charging Circuit for EDM - (Measured in Ohm) - Resistance of the charging circuit for edm, is the resistance of the charging circuit.
Voltage of Power Supply for EDM - (Measured in Volt) - Voltage of power supply for edm, is the voltage required to charge a given device within given time.
Time Elapsed for EDM - (Measured in Second) - Time elapsed for edm, time elapsed after a particular task is started.
Time Constant for EDM - (Measured in Second) - Time Constant for edm, of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.
Charging Current at any Time for EDM - (Measured in Ampere) - Charging current at any time for edm (t) is the current at any given instance of time.

STEP 1: Convert Input(s) to Base Unit

Voltage of Power Supply for EDM: 1.2 Volt --> 1.2 Volt No Conversion Required
Time Elapsed for EDM: 8.88 Second --> 8.88 Second No Conversion Required
Time Constant for EDM: 100 Second --> 100 Second No Conversion Required
Charging Current at any Time for EDM: 6.1 Ampere --> 6.1 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_cc = (V_cc*exp(-t_cc/𝜏_cc))/i_c --> (1.2*exp(-8.88/100))/6.1

Evaluating ... ...

R_cc = 0.180005618554878

STEP 3: Convert Result to Output's Unit

0.180005618554878 Ohm --> No Conversion Required

FINAL ANSWER

0.180005618554878 ≈ 0.180006 Ohm <-- Resistance of the Charging Circuit for EDM

(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 » Charging Current for EDM » Resistance of Charging Circuit

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Created by Rajat Vishwakarma

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

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< 5 Charging Current for EDM Calculators

Power Supply during Charging

Go Voltage of Power Supply for EDM = (Resistance of the Charging Circuit for EDM*Charging Current at any Time for EDM)/(exp(-Time Elapsed for EDM/Time Constant for EDM))

Resistance of Charging Circuit

Go Resistance of the Charging Circuit for EDM = (Voltage of Power Supply for EDM*exp(-Time Elapsed for EDM/Time Constant for EDM))/Charging Current at any Time for EDM

Time Constant from Charging Current

Go Time Constant for EDM = -Time Elapsed for EDM/ln((Charging Current at any Time for EDM*Resistance of the Charging Circuit for EDM)/Voltage of Power Supply for EDM)

Time Elapsed during Charging

Go Time Elapsed for EDM = -Time Constant for EDM*ln((Charging Current at any Time for EDM*Resistance of the Charging Circuit for EDM)/Voltage of Power Supply for EDM)

Charging Current in Relaxation Circuit

Go Charging Current at any Time for EDM = Voltage of Power Supply for EDM/Resistance of the Charging Circuit for EDM*exp(-Time Elapsed for EDM/Time Constant for EDM)

Resistance of Charging Circuit Formula

How is the spark 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 Charging Circuit?

Resistance of Charging Circuit calculator uses Resistance of the Charging Circuit for EDM = (Voltage of Power Supply for EDM*exp(-Time Elapsed for EDM/Time Constant for EDM))/Charging Current at any Time for EDM to calculate the Resistance of the Charging Circuit for EDM, The Resistance of charging circuit formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit. Resistance of the Charging Circuit for EDM is denoted by R_cc symbol.

How to calculate Resistance of Charging Circuit using this online calculator? To use this online calculator for Resistance of Charging Circuit, enter Voltage of Power Supply for EDM (V_cc), Time Elapsed for EDM (t_cc), Time Constant for EDM (𝜏_cc) & Charging Current at any Time for EDM (i_c) and hit the calculate button. Here is how the Resistance of Charging Circuit calculation can be explained with given input values -> 0.137254 = (1.2*exp(-8.88/100))/6.1.

FAQ

What is Resistance of Charging Circuit?

The Resistance of charging circuit formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit and is represented as R_cc = (V_cc*exp(-t_cc/𝜏_cc))/i_c or Resistance of the Charging Circuit for EDM = (Voltage of Power Supply for EDM*exp(-Time Elapsed for EDM/Time Constant for EDM))/Charging Current at any Time for EDM. Voltage of power supply for edm, is the voltage required to charge a given device within given time, Time elapsed for edm, time elapsed after a particular task is started, Time Constant for edm, of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate & Charging current at any time for edm (t) is the current at any given instance of time.

How to calculate Resistance of Charging Circuit?

The Resistance of charging circuit formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit is calculated using Resistance of the Charging Circuit for EDM = (Voltage of Power Supply for EDM*exp(-Time Elapsed for EDM/Time Constant for EDM))/Charging Current at any Time for EDM. To calculate Resistance of Charging Circuit, you need Voltage of Power Supply for EDM (V_cc), Time Elapsed for EDM (t_cc), Time Constant for EDM (𝜏_cc) & Charging Current at any Time for EDM (i_c). With our tool, you need to enter the respective value for Voltage of Power Supply for EDM, Time Elapsed for EDM, Time Constant for EDM & Charging Current at any Time for EDM 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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