Capacitance of Circuit from Resistance of Discharging Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitance of Voltage Discharge = -Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge))
C = -t/(Rdv*ln(Vdis/Vc))
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
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.
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.
Discharge Voltage of EDM - (Measured in Volt) - Discharge Voltage of EDM is the voltage across discharging circuit of EDM.
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.
STEP 1: Convert Input(s) to Base Unit
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
Discharge Voltage of EDM: 0.76 Volt --> 0.76 Volt No Conversion Required
Voltage at any Time in Voltage Discharge: 2 Volt --> 2 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = -t/(Rdv*ln(Vdis/Vc)) --> -12/(0.31*ln(0.76/2))
Evaluating ... ...
C = 40.0065279797053
STEP 3: Convert Result to Output's Unit
40.0065279797053 Farad --> No Conversion Required
FINAL ANSWER
40.0065279797053 40.00653 Farad <-- Capacitance of Voltage Discharge
(Calculation completed in 00.020 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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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)

Capacitance of Circuit from Resistance of Discharging Circuit Formula

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

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 Capacitance of Circuit from Resistance of Discharging Circuit?

Capacitance of Circuit from Resistance of Discharging Circuit calculator uses Capacitance of Voltage Discharge = -Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge)) to calculate the Capacitance of Voltage Discharge, Capacitance of circuit from resistance of discharging circuit formula is defined as the equivalent capacitance of all the capacitors connected in the relaxation circuit of EDM to produce spark. Capacitance of Voltage Discharge is denoted by C symbol.

How to calculate Capacitance of Circuit from Resistance of Discharging Circuit using this online calculator? To use this online calculator for Capacitance of Circuit from Resistance of Discharging Circuit, enter Time Elapsed for Voltage Discharge (t), Resistance of Discharging Voltage (Rdv), Discharge Voltage of EDM (Vdis) & Voltage at any Time in Voltage Discharge (Vc) and hit the calculate button. Here is how the Capacitance of Circuit from Resistance of Discharging Circuit calculation can be explained with given input values -> 40.00653 = -12/(0.31*ln(0.76/2)).

FAQ

What is Capacitance of Circuit from Resistance of Discharging Circuit?
Capacitance of circuit from resistance of discharging circuit formula is defined as the equivalent capacitance of all the capacitors connected in the relaxation circuit of EDM to produce spark and is represented as C = -t/(Rdv*ln(Vdis/Vc)) or Capacitance of Voltage Discharge = -Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge)). 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, Discharge Voltage of EDM is the voltage across discharging circuit of EDM & Voltage at any time in Voltage Discharge is the charging voltage in the circuit at any given time.
How to calculate Capacitance of Circuit from Resistance of Discharging Circuit?
Capacitance of circuit from resistance of discharging circuit formula is defined as the equivalent capacitance of all the capacitors connected in the relaxation circuit of EDM to produce spark is calculated using Capacitance of Voltage Discharge = -Time Elapsed for Voltage Discharge/(Resistance of Discharging Voltage*ln(Discharge Voltage of EDM/Voltage at any Time in Voltage Discharge)). To calculate Capacitance of Circuit from Resistance of Discharging Circuit, you need Time Elapsed for Voltage Discharge (t), Resistance of Discharging Voltage (Rdv), Discharge Voltage of EDM (Vdis) & Voltage at any Time in Voltage Discharge (Vc). With our tool, you need to enter the respective value for Time Elapsed for Voltage Discharge, Resistance of Discharging Voltage, Discharge Voltage of EDM & Voltage at any Time in 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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