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
Rcc = (Vcc*exp(-tcc/𝜏cc))/ic
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
Rcc = (Vcc*exp(-tcc/𝜏cc))/ic --> (1.2*exp(-8.88/100))/6.1
Evaluating ... ...
Rcc = 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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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)

Resistance of Charging Circuit Formula

​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
Rcc = (Vcc*exp(-tcc/𝜏cc))/ic

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 Rcc 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 (Vcc), Time Elapsed for EDM (tcc), Time Constant for EDM (𝜏cc) & Charging Current at any Time for EDM (ic) 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 Rcc = (Vcc*exp(-tcc/𝜏cc))/ic 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 (Vcc), Time Elapsed for EDM (tcc), Time Constant for EDM (𝜏cc) & Charging Current at any Time for EDM (ic). 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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