Charging Current in Relaxation 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%
✖Resistance of the charging circuit for edm, is the resistance of the charging circuit.ⓘ Resistance of the Charging Circuit for EDM [R_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 in Relaxation Circuit [i_c]

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Formula

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Charging Current in Relaxation Circuit

Formula

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

Example

`"6.10019A"="1.2V"/"0.180Ω"*exp(-"8.88s"/"100.0s")`

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Charging Current in Relaxation Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
i_c = V_cc/R_cc*exp(-t_cc/𝜏_cc)
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

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.
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.
Resistance of the Charging Circuit for EDM - (Measured in Ohm) - Resistance of the charging circuit for edm, is the resistance of the charging circuit.
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.

STEP 1: Convert Input(s) to Base Unit

Voltage of Power Supply for EDM: 1.2 Volt --> 1.2 Volt No Conversion Required
Resistance of the Charging Circuit for EDM: 0.18 Ohm --> 0.18 Ohm 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_c = V_cc/R_cc*exp(-t_cc/𝜏_cc) --> 1.2/0.18*exp(-8.88/100)

Evaluating ... ...

i_c = 6.10019040658199

STEP 3: Convert Result to Output's Unit

6.10019040658199 Ampere --> No Conversion Required

FINAL ANSWER

6.10019040658199 ≈ 6.10019 Ampere <-- Charging Current at any Time 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 » Charging Current in Relaxation 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)

Charging Current in Relaxation Circuit Formula

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)
i_c = V_cc/R_cc*exp(-t_cc/𝜏_cc)

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 Charging Current in Relaxation Circuit?

Charging Current in Relaxation Circuit calculator uses 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) to calculate the Charging Current at any Time for EDM, The Charging current in relaxation circuit formula is defined as the heavy current, that will flow in the circuit to charge the capacitor. Charging Current at any Time for EDM is denoted by i_c symbol.

How to calculate Charging Current in Relaxation Circuit using this online calculator? To use this online calculator for Charging Current in Relaxation Circuit, enter Voltage of Power Supply for EDM (V_cc), Resistance of the Charging Circuit for EDM (R_cc), Time Elapsed for EDM (t_cc) & Time Constant for EDM (𝜏_cc) and hit the calculate button. Here is how the Charging Current in Relaxation Circuit calculation can be explained with given input values -> 6.10019 = 1.2/0.18*exp(-8.88/100).

FAQ

What is Charging Current in Relaxation Circuit?

The Charging current in relaxation circuit formula is defined as the heavy current, that will flow in the circuit to charge the capacitor and is represented as i_c = V_cc/R_cc*exp(-t_cc/𝜏_cc) or 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). Voltage of power supply for edm, is the voltage required to charge a given device within given time, Resistance of the charging circuit for edm, is the resistance of the charging circuit, 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.

How to calculate Charging Current in Relaxation Circuit?

The Charging current in relaxation circuit formula is defined as the heavy current, that will flow in the circuit to charge the capacitor is calculated using 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). To calculate Charging Current in Relaxation Circuit, you need Voltage of Power Supply for EDM (V_cc), Resistance of the Charging Circuit for EDM (R_cc), Time Elapsed for EDM (t_cc) & Time Constant for EDM (𝜏_cc). With our tool, you need to enter the respective value for Voltage of Power Supply for EDM, Resistance of the Charging Circuit for EDM, Time Elapsed for EDM & Time Constant 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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