Time Constant from Charging Current Calculator

✖Time elapsed for edm, time elapsed after a particular task is started.ⓘ Time Elapsed for EDM [t_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 the Charging Circuit for EDM [R_cc]			+10% -10%
✖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 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 from Charging Current [𝜏_cc]

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Time Constant from Charging Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
𝜏_cc = -t_cc/ln((i_c*R_cc)/V_cc)
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

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.
Time Elapsed for EDM - (Measured in Second) - Time elapsed for edm, time elapsed after a particular task is started.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Time Elapsed for EDM: 8.88 Second --> 8.88 Second No Conversion Required
Charging Current at any Time for EDM: 6.1 Ampere --> 6.1 Ampere No Conversion Required
Resistance of the Charging Circuit for EDM: 0.18 Ohm --> 0.18 Ohm No Conversion Required
Voltage of Power Supply for EDM: 1.2 Volt --> 1.2 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_cc = -t_cc/ln((i_c*R_cc)/V_cc) --> -8.88/ln((6.1*0.18)/1.2)

Evaluating ... ...

𝜏_cc = 99.9648617807712

STEP 3: Convert Result to Output's Unit

99.9648617807712 Second --> No Conversion Required

FINAL ANSWER

99.9648617807712 ≈ 99.96486 Second <-- Time Constant for EDM

(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 » Relaxation Circuit used for Generating Pulses in EDM » Charging Current for EDM » Time Constant from Charging Current

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Created by Rajat Vishwakarma

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

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< Charging Current for EDM Calculators

Power Supply during Charging

LaTeX 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

LaTeX 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 Elapsed during Charging

LaTeX 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

LaTeX 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)

Time Constant from Charging Current Formula

LaTeX 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)
𝜏_cc = -t_cc/ln((i_c*R_cc)/V_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 Time Constant from Charging Current?

Time Constant from Charging Current calculator uses 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) to calculate the Time Constant for EDM, The Time constant from charging current formula is defined as the product of resistance of charging circuit to the capacitance of circuit. Time Constant for EDM is denoted by 𝜏_cc symbol.

How to calculate Time Constant from Charging Current using this online calculator? To use this online calculator for Time Constant from Charging Current, enter Time Elapsed for EDM (t_cc), Charging Current at any Time for EDM (i_c), Resistance of the Charging Circuit for EDM (R_cc) & Voltage of Power Supply for EDM (V_cc) and hit the calculate button. Here is how the Time Constant from Charging Current calculation can be explained with given input values -> -48.705157 = -8.88/ln((6.1*0.18)/1.2).

FAQ

What is Time Constant from Charging Current?

The Time constant from charging current formula is defined as the product of resistance of charging circuit to the capacitance of circuit and is represented as 𝜏_cc = -t_cc/ln((i_c*R_cc)/V_cc) or 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 for edm, time elapsed after a particular task is started, Charging current at any time for edm (t) is the current at any given instance of time, Resistance of the charging circuit for edm, is the resistance of the charging circuit & Voltage of power supply for edm, is the voltage required to charge a given device within given time.

How to calculate Time Constant from Charging Current?

The Time constant from charging current formula is defined as the product of resistance of charging circuit to the capacitance of circuit is calculated using 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). To calculate Time Constant from Charging Current, you need Time Elapsed for EDM (t_cc), Charging Current at any Time for EDM (i_c), Resistance of the Charging Circuit for EDM (R_cc) & Voltage of Power Supply for EDM (V_cc). With our tool, you need to enter the respective value for Time Elapsed for EDM, Charging Current at any Time for EDM, Resistance of the Charging Circuit for EDM & Voltage of Power Supply 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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