Resistance of Charging Circuit from Time Elapsed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance of the Charging Voltage = -(Time Elapsed for Charging Voltage/(Capacitance of Charging Voltage*ln(1-(Voltage at any Time for Charging Voltage/Voltage of Power Supply Charging Voltage))))
Rcv = -(te/(Cv*ln(1-(Vcv/Vscv))))
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
Resistance of the Charging Voltage - (Measured in Ohm) - Resistance of the Charging voltage, is the resistance of the charging circuit.
Time Elapsed for Charging Voltage - (Measured in Second) - Time elapsed for Charging Voltage after a particular task is started.
Capacitance of Charging Voltage - (Measured in Farad) - Capacitance of charging voltage is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Voltage at any Time for Charging Voltage - (Measured in Volt) - Voltage at any time for Charging Voltage, is the charging voltage in the circuit at any given time.
Voltage of Power Supply Charging Voltage - (Measured in Volt) - Voltage of power supply Charging Voltage, is the voltage required to charge a given device within given time.
STEP 1: Convert Input(s) to Base Unit
Time Elapsed for Charging Voltage: 11.43 Second --> 11.43 Second No Conversion Required
Capacitance of Charging Voltage: 5 Farad --> 5 Farad No Conversion Required
Voltage at any Time for Charging Voltage: 7.2 Volt --> 7.2 Volt No Conversion Required
Voltage of Power Supply Charging Voltage: 10.01 Volt --> 10.01 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rcv = -(te/(Cv*ln(1-(Vcv/Vscv)))) --> -(11.43/(5*ln(1-(7.2/10.01))))
Evaluating ... ...
Rcv = 1.79943309358918
STEP 3: Convert Result to Output's Unit
1.79943309358918 Ohm --> No Conversion Required
FINAL ANSWER
1.79943309358918 1.799433 Ohm <-- Resistance of the Charging Voltage
(Calculation completed in 00.004 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
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Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Charging Voltage Calculators

Resistance of Charging Circuit from Time Elapsed
​ LaTeX ​ Go Resistance of the Charging Voltage = -(Time Elapsed for Charging Voltage/(Capacitance of Charging Voltage*ln(1-(Voltage at any Time for Charging Voltage/Voltage of Power Supply Charging Voltage))))
Voltage of Supply Power for EDM
​ LaTeX ​ Go Voltage of Power Supply Charging Voltage = Voltage at any Time for Charging Voltage/(1-exp(-Time Elapsed for Charging Voltage/(Resistance of the Charging Voltage*Capacitance of Charging Voltage)))
Voltage at Any Time t
​ LaTeX ​ Go Voltage at any Time for Charging Voltage = Voltage of Power Supply Charging Voltage*(1-exp(-Time Elapsed for Charging Voltage/(Resistance of the Charging Voltage*Capacitance of Charging Voltage)))
Elapsed Time during Charging
​ LaTeX ​ Go Time Elapsed for Charging Voltage = -Resistance of the Charging Voltage*Capacitance of Charging Voltage*ln(1-(Voltage at any Time for Charging Voltage/Voltage of Power Supply Charging Voltage))

Resistance of Charging Circuit from Time Elapsed Formula

​LaTeX ​Go
Resistance of the Charging Voltage = -(Time Elapsed for Charging Voltage/(Capacitance of Charging Voltage*ln(1-(Voltage at any Time for Charging Voltage/Voltage of Power Supply Charging Voltage))))
Rcv = -(te/(Cv*ln(1-(Vcv/Vscv))))

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 Resistance of Charging Circuit from Time Elapsed?

Resistance of Charging Circuit from Time Elapsed calculator uses Resistance of the Charging Voltage = -(Time Elapsed for Charging Voltage/(Capacitance of Charging Voltage*ln(1-(Voltage at any Time for Charging Voltage/Voltage of Power Supply Charging Voltage)))) to calculate the Resistance of the Charging Voltage, Resistance of charging circuit from time elapsed formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit. Resistance of the Charging Voltage is denoted by Rcv symbol.

How to calculate Resistance of Charging Circuit from Time Elapsed using this online calculator? To use this online calculator for Resistance of Charging Circuit from Time Elapsed, enter Time Elapsed for Charging Voltage (te), Capacitance of Charging Voltage (Cv), Voltage at any Time for Charging Voltage (Vcv) & Voltage of Power Supply Charging Voltage (Vscv) and hit the calculate button. Here is how the Resistance of Charging Circuit from Time Elapsed calculation can be explained with given input values -> 1.889326 = -(11.43/(5*ln(1-(7.2/10.01)))).

FAQ

What is Resistance of Charging Circuit from Time Elapsed?
Resistance of charging circuit from time elapsed formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit and is represented as Rcv = -(te/(Cv*ln(1-(Vcv/Vscv)))) or Resistance of the Charging Voltage = -(Time Elapsed for Charging Voltage/(Capacitance of Charging Voltage*ln(1-(Voltage at any Time for Charging Voltage/Voltage of Power Supply Charging Voltage)))). Time elapsed for Charging Voltage after a particular task is started, Capacitance of charging voltage is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential, Voltage at any time for Charging Voltage, is the charging voltage in the circuit at any given time & Voltage of power supply Charging Voltage, is the voltage required to charge a given device within given time.
How to calculate Resistance of Charging Circuit from Time Elapsed?
Resistance of charging circuit from time elapsed 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 Voltage = -(Time Elapsed for Charging Voltage/(Capacitance of Charging Voltage*ln(1-(Voltage at any Time for Charging Voltage/Voltage of Power Supply Charging Voltage)))). To calculate Resistance of Charging Circuit from Time Elapsed, you need Time Elapsed for Charging Voltage (te), Capacitance of Charging Voltage (Cv), Voltage at any Time for Charging Voltage (Vcv) & Voltage of Power Supply Charging Voltage (Vscv). With our tool, you need to enter the respective value for Time Elapsed for Charging Voltage, Capacitance of Charging Voltage, Voltage at any Time for Charging Voltage & Voltage of Power Supply Charging Voltage 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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