Voltage of Charging Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Voltage at any Time in Voltage Discharge = Discharge Voltage of EDM/exp(-Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*Capacitance of Voltage Discharge))
Vc = Vdis/exp(-t/(Rdv*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
Voltage at any Time in Voltage Discharge - (Measured in Volt) - Voltage at any time in Voltage Discharge is the charging voltage in the circuit at any given time.
Discharge Voltage of EDM - (Measured in Volt) - Discharge Voltage of EDM is the voltage across discharging circuit of EDM.
Time Elapsed for Voltage Discharge - (Measured in Second) - Time elapsed for Voltage Discharge after a particular task is started.
Resistance of Discharging Voltage - (Measured in Ohm) - Resistance of Discharging voltage is the equivalent resistances of all the components of the circuit.
Capacitance of Voltage Discharge - (Measured in Farad) - Capacitance of voltage discharge is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
STEP 1: Convert Input(s) to Base Unit
Discharge Voltage of EDM: 0.76 Volt --> 0.76 Volt No Conversion Required
Time Elapsed for Voltage Discharge: 12 Second --> 12 Second No Conversion Required
Resistance of Discharging Voltage: 0.31 Ohm --> 0.31 Ohm No Conversion Required
Capacitance of Voltage Discharge: 40 Farad --> 40 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vc = Vdis/exp(-t/(Rdv*C)) --> 0.76/exp(-12/(0.31*40))
Evaluating ... ...
Vc = 2.00031584338097
STEP 3: Convert Result to Output's Unit
2.00031584338097 Volt --> No Conversion Required
FINAL ANSWER
2.00031584338097 2.000316 Volt <-- Voltage at any Time in Voltage Discharge
(Calculation completed in 00.004 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Discharging Voltage Calculators

Voltage of Charging Circuit
​ LaTeX ​ Go Voltage at any Time in Voltage Discharge = Discharge Voltage of EDM/exp(-Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*Capacitance of Voltage Discharge))
Discharging Voltage
​ LaTeX ​ Go Discharge Voltage of EDM = Voltage at any Time in Voltage Discharge*exp(-Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*Capacitance of Voltage Discharge))
Resistance of Discharging Circuit from Capacitance
​ LaTeX ​ Go Resistance of Discharging Voltage = -Time Elapsed for Voltage Discharge/(Capacitance of Voltage Discharge*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge))
Time Elapsed
​ LaTeX ​ Go Time Elapsed for Voltage Discharge = -Resistance of Discharging Voltage*Capacitance of Voltage Discharge*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge)

Voltage of Charging Circuit Formula

​LaTeX ​Go
Voltage at any Time in Voltage Discharge = Discharge Voltage of EDM/exp(-Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*Capacitance of Voltage Discharge))
Vc = Vdis/exp(-t/(Rdv*C))

How the spark is 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 Voltage of Charging Circuit?

Voltage of Charging Circuit calculator uses Voltage at any Time in Voltage Discharge = Discharge Voltage of EDM/exp(-Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*Capacitance of Voltage Discharge)) to calculate the Voltage at any Time in Voltage Discharge, The Voltage of charging circuit formula is defined as the voltage at which the capacitor of charging circuit is being charged. Voltage at any Time in Voltage Discharge is denoted by Vc symbol.

How to calculate Voltage of Charging Circuit using this online calculator? To use this online calculator for Voltage of Charging Circuit, enter Discharge Voltage of EDM (Vdis), Time Elapsed for Voltage Discharge (t), Resistance of Discharging Voltage (Rdv) & Capacitance of Voltage Discharge (C) and hit the calculate button. Here is how the Voltage of Charging Circuit calculation can be explained with given input values -> 1.967298 = 0.76/exp(-12/(0.31*40)).

FAQ

What is Voltage of Charging Circuit?
The Voltage of charging circuit formula is defined as the voltage at which the capacitor of charging circuit is being charged and is represented as Vc = Vdis/exp(-t/(Rdv*C)) or Voltage at any Time in Voltage Discharge = Discharge Voltage of EDM/exp(-Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*Capacitance of Voltage Discharge)). Discharge Voltage of EDM is the voltage across discharging circuit of EDM, Time elapsed for Voltage Discharge after a particular task is started, Resistance of Discharging voltage is the equivalent resistances of all the components of the circuit & Capacitance of voltage discharge is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
How to calculate Voltage of Charging Circuit?
The Voltage of charging circuit formula is defined as the voltage at which the capacitor of charging circuit is being charged is calculated using Voltage at any Time in Voltage Discharge = Discharge Voltage of EDM/exp(-Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*Capacitance of Voltage Discharge)). To calculate Voltage of Charging Circuit, you need Discharge Voltage of EDM (Vdis), Time Elapsed for Voltage Discharge (t), Resistance of Discharging Voltage (Rdv) & Capacitance of Voltage Discharge (C). With our tool, you need to enter the respective value for Discharge Voltage of EDM, Time Elapsed for Voltage Discharge, Resistance of Discharging Voltage & Capacitance of Voltage Discharge 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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