Elapsed Time during Charging Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
t = -Rc*Cv*ln(1-(Vc/V0))
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
Time Elapsed for Charging Voltage - (Measured in Second) - Time elapsed for Charging Voltage after a particular task is started.
Resistance of the Charging Voltage - (Measured in Ohm) - Resistance of the charging voltage is the resistance of the charging circuit.
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 - (Measured in Volt) - Voltage of power supply is the voltage required to charge a given device within given time.
STEP 1: Convert Input(s) to Base Unit
Resistance of the Charging Voltage: 1.8 Ohm --> 1.8 Ohm 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: 10 Volt --> 10 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = -Rc*Cv*ln(1-(Vc/V0)) --> -1.8*5*ln(1-(7.2/10))
Evaluating ... ...
t = 11.456691082316
STEP 3: Convert Result to Output's Unit
11.456691082316 Second --> No Conversion Required
FINAL ANSWER
11.456691082316 11.45669 Second <-- Time Elapsed for Charging Voltage
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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National Institute of Technology (NIT), Tiruchirapalli
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8 Charging voltage Calculators

Resistance of Charging Circuit from Time Elapsed
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))))
Capacitance of Charging Circuit of EDM
Go Capacitance of Charging Voltage = -(Time Elapsed for Charging Voltage/(Resistance of the Charging Voltage*ln(1-(Voltage at any Time for Charging Voltage/Voltage of Power Supply))))
Voltage of Supply Power for EDM
Go Voltage of Power Supply = 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
Go Voltage at any Time for Charging Voltage = Voltage of Power Supply*(1-exp(-Time Elapsed for Charging Voltage/(Resistance of the Charging Voltage*Capacitance of Charging Voltage)))
Elapsed Time during Charging
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))
Time Constant for Charging Circuit of EDM
Go Time Constant for Charging Voltage = Resistance of the Charging Voltage*Capacitance of Charging Voltage
Charging Voltage for Maximum Power of Spark
Go Voltage at any Time for Charging Voltage = 0.72*Voltage of Power Supply
Power Supply for Maximum Power of Spark
Go Voltage of Power Supply = Voltage at any Time for Charging Voltage/0.72

Elapsed Time during Charging Formula

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))
t = -Rc*Cv*ln(1-(Vc/V0))

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 Elapsed Time during Charging?

Elapsed Time during Charging calculator uses 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)) to calculate the Time Elapsed for Charging Voltage, The Elapsed time during charging formula is defined as the time elapsed since the commencement of the task to provide sparking power to EDM electrode. Time Elapsed for Charging Voltage is denoted by t symbol.

How to calculate Elapsed Time during Charging using this online calculator? To use this online calculator for Elapsed Time during Charging, enter Resistance of the Charging Voltage (Rc), Capacitance of Charging Voltage (Cv), Voltage at any Time for Charging Voltage (Vc) & Voltage of Power Supply (V0) and hit the calculate button. Here is how the Elapsed Time during Charging calculation can be explained with given input values -> 1.145669 = -1.8*5*ln(1-(7.2/10)).

FAQ

What is Elapsed Time during Charging?
The Elapsed time during charging formula is defined as the time elapsed since the commencement of the task to provide sparking power to EDM electrode and is represented as t = -Rc*Cv*ln(1-(Vc/V0)) or 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)). Resistance of the charging voltage is the resistance of the charging circuit, 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 is the voltage required to charge a given device within given time.
How to calculate Elapsed Time during Charging?
The Elapsed time during charging formula is defined as the time elapsed since the commencement of the task to provide sparking power to EDM electrode is calculated using 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)). To calculate Elapsed Time during Charging, you need Resistance of the Charging Voltage (Rc), Capacitance of Charging Voltage (Cv), Voltage at any Time for Charging Voltage (Vc) & Voltage of Power Supply (V0). With our tool, you need to enter the respective value for Resistance of the Charging Voltage, Capacitance of Charging Voltage, Voltage at any Time for Charging Voltage & Voltage of Power Supply 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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