Power Supply during Charging Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Vcc = (Rcc*ic)/(exp(-tcc/𝜏cc))
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 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.
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.
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
Resistance of the Charging Circuit for EDM: 0.18 Ohm --> 0.18 Ohm No Conversion Required
Charging Current at any Time for EDM: 6.1 Ampere --> 6.1 Ampere 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
Vcc = (Rcc*ic)/(exp(-tcc/𝜏cc)) --> (0.18*6.1)/(exp(-8.88/100))
Evaluating ... ...
Vcc = 1.19996254413663
STEP 3: Convert Result to Output's Unit
1.19996254413663 Volt --> No Conversion Required
FINAL ANSWER
1.19996254413663 1.199963 Volt <-- Voltage of Power Supply for EDM
(Calculation completed in 00.007 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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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)

Power Supply during Charging Formula

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))
Vcc = (Rcc*ic)/(exp(-tcc/𝜏cc))

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 Power Supply during Charging?

Power Supply during Charging calculator uses 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)) to calculate the Voltage of Power Supply for EDM, The Power supply during charging formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM. Voltage of Power Supply for EDM is denoted by Vcc symbol.

How to calculate Power Supply during Charging using this online calculator? To use this online calculator for Power Supply during Charging, enter Resistance of the Charging Circuit for EDM (Rcc), Charging Current at any Time for EDM (ic), Time Elapsed for EDM (tcc) & Time Constant for EDM (𝜏cc) and hit the calculate button. Here is how the Power Supply during Charging calculation can be explained with given input values -> 1.573721 = (0.18*6.1)/(exp(-8.88/100)).

FAQ

What is Power Supply during Charging?
The Power supply during charging formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM and is represented as Vcc = (Rcc*ic)/(exp(-tcc/𝜏cc)) or 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 the charging circuit for edm, is the resistance of the charging circuit, Charging current at any time for edm (t) is the current at any given instance of 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.
How to calculate Power Supply during Charging?
The Power supply during charging formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM is calculated using 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)). To calculate Power Supply during Charging, you need Resistance of the Charging Circuit for EDM (Rcc), Charging Current at any Time for EDM (ic), Time Elapsed for EDM (tcc) & Time Constant for EDM (𝜏cc). With our tool, you need to enter the respective value for Resistance of the Charging Circuit for EDM, Charging Current at any Time 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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