Voltage at Any Time t Calculator

✖Voltage of power supply Charging Voltage, is the voltage required to charge a given device within given time.ⓘ Voltage of Power Supply Charging Voltage [V_scv]			+10% -10%
✖Time elapsed for Charging Voltage after a particular task is started.ⓘ Time Elapsed for Charging Voltage [t_e]			+10% -10%
✖Resistance of the Charging voltage, is the resistance of the charging circuit.ⓘ Resistance of the Charging Voltage [R_cv]			+10% -10%
✖Capacitance of charging voltage is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance of Charging Voltage [C_v]			+10% -10%

✖Voltage at any time for Charging Voltage, is the charging voltage in the circuit at any given time.ⓘ Voltage at Any Time t [V_cv]

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Formula

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Voltage at Any Time t

Formula

`"V"_{"cv"} = "V"_{"scv"}*(1-exp(-"t"_{"e"}/("R"_{"cv"}*"C"_{"v"})))`

Example

`"7.198875V"="10.01V"*(1-exp(-"11.43s"/("1.8Ω"*"5F")))`

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Voltage at Any Time t Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
V_cv = V_scv*(1-exp(-t_e/(R_cv*C_v)))
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Voltage of Power Supply Charging Voltage: 10.01 Volt --> 10.01 Volt No Conversion Required
Time Elapsed for Charging Voltage: 11.43 Second --> 11.43 Second No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_cv = V_scv*(1-exp(-t_e/(R_cv*C_v))) --> 10.01*(1-exp(-11.43/(1.8*5)))

Evaluating ... ...

V_cv = 7.19887546599842

STEP 3: Convert Result to Output's Unit

7.19887546599842 Volt --> No Conversion Required

FINAL ANSWER

7.19887546599842 ≈ 7.198875 Volt <-- Voltage at any Time for Charging Voltage

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Unconventional machining processes » Electro Discharge Machining (EDM) » System Analysis in EDM » Relaxation Circuit used for Generating Pulses in EDM » Charging Voltage » Voltage at Any Time t

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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 Charging Voltage))))

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 Charging Voltage))))

Voltage of Supply Power for EDM

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

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

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))

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 Charging Voltage

Power Supply for Maximum Power of Spark

Go Voltage of Power Supply Charging Voltage = Voltage at any Time for Charging Voltage/0.72

Voltage at Any Time t Formula

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 at Any Time t?

Voltage at Any Time t calculator uses 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))) to calculate the Voltage at any Time for Charging Voltage, The Voltage at any time t formula is defined as the voltage at which the capacitor of charging circuit is being charged. Voltage at any Time for Charging Voltage is denoted by V_cv symbol.

How to calculate Voltage at Any Time t using this online calculator? To use this online calculator for Voltage at Any Time t, enter Voltage of Power Supply Charging Voltage (V_scv), Time Elapsed for Charging Voltage (t_e), Resistance of the Charging Voltage (R_cv) & Capacitance of Charging Voltage (C_v) and hit the calculate button. Here is how the Voltage at Any Time t calculation can be explained with given input values -> 7.371686 = 10.01*(1-exp(-11.43/(1.8*5))).

FAQ

What is Voltage at Any Time t?

The Voltage at any time t formula is defined as the voltage at which the capacitor of charging circuit is being charged and is represented as V_cv = V_scv*(1-exp(-t_e/(R_cv*C_v))) or 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))). Voltage of power supply Charging Voltage, is the voltage required to charge a given device within given time, Time elapsed for Charging Voltage after a particular task is started, 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.

How to calculate Voltage at Any Time t?

The Voltage at any time t formula is defined as the voltage at which the capacitor of charging circuit is being charged is calculated using 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))). To calculate Voltage at Any Time t, you need Voltage of Power Supply Charging Voltage (V_scv), Time Elapsed for Charging Voltage (t_e), Resistance of the Charging Voltage (R_cv) & Capacitance of Charging Voltage (C_v). With our tool, you need to enter the respective value for Voltage of Power Supply Charging Voltage, Time Elapsed for Charging Voltage, Resistance of the Charging Voltage & Capacitance of Charging Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Voltage at any Time for Charging Voltage?

In this formula, Voltage at any Time for Charging Voltage uses Voltage of Power Supply Charging Voltage, Time Elapsed for Charging Voltage, Resistance of the Charging Voltage & Capacitance of Charging Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -

Voltage at any Time for Charging Voltage = 0.72*Voltage of Power Supply Charging Voltage

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