Energy Delivered per Spark from Resistance Charging Circuit Calculator

✖Voltage of power supply is the voltage required to charge a given device within given time.ⓘ Voltage of Power Supply [V₀]			+10% -10%
✖Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.ⓘ Time Constant [𝜏]			+10% -10%
✖Resistance of the charging circuit is the resistance of the charging circuit.ⓘ Resistance of the Charging Circuit [R_c]			+10% -10%
✖Time elapsed after a particular task is started.ⓘ Time Elapsed [t]			+10% -10%

✖Energy delivered per spark is the energy produced for EDM.ⓘ Energy Delivered per Spark from Resistance Charging Circuit [P]

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Energy Delivered per Spark from Resistance Charging Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Delivered per Spark = (Voltage of Power Supply^2*Time Constant)/Resistance of the Charging Circuit*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant))
P = (V₀^2*𝜏)/R_c*(1/2-exp(-t/𝜏)+0.5*exp(-2*t/𝜏))
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

Energy Delivered per Spark - (Measured in Watt) - Energy delivered per spark is the energy produced for EDM.
Voltage of Power Supply - (Measured in Volt) - Voltage of power supply is the voltage required to charge a given device within given time.
Time Constant - (Measured in Second) - Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.
Resistance of the Charging Circuit - (Measured in Ohm) - Resistance of the charging circuit is the resistance of the charging circuit.
Time Elapsed - (Measured in Second) - Time elapsed after a particular task is started.

STEP 1: Convert Input(s) to Base Unit

Voltage of Power Supply: 10 Volt --> 10 Volt No Conversion Required
Time Constant: 100 Second --> 100 Second No Conversion Required
Resistance of the Charging Circuit: 0.18 Ohm --> 0.18 Ohm No Conversion Required
Time Elapsed: 12 Second --> 12 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (V₀^2*𝜏)/R_c*(1/2-exp(-t/𝜏)+0.5*exp(-2*t/𝜏)) --> (10^2*100)/0.18*(1/2-exp(-12/100)+0.5*exp(-2*12/100))

Evaluating ... ...

P = 355.194100895514

STEP 3: Convert Result to Output's Unit

355.194100895514 Watt --> No Conversion Required

FINAL ANSWER

355.194100895514 ≈ 355.1941 Watt <-- Energy Delivered per Spark

(Calculation completed in 00.051 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 » Power Delivered per Spark » Energy Delivered per Spark from Resistance Charging Circuit

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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), Hamirpur

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< Power Delivered per Spark Calculators

Power Supply required for given Spark Power

LaTeX Go Voltage of Power Supply = sqrt((Energy Delivered per Spark*Resistance of the Charging Circuit)/(Time Constant*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant))))

Energy Delivered per Spark from Resistance Charging Circuit

LaTeX Go Energy Delivered per Spark = (Voltage of Power Supply^2*Time Constant)/Resistance of the Charging Circuit*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant))

Resistance of Charging Circuit from Voltage Supply

LaTeX Go Resistance of the Charging Circuit = (Voltage of Power Supply^2*Time Constant)/Energy Delivered per Spark*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant))

Energy Delivered per Spark from Resistance Charging Circuit Formula

LaTeX Go

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 Energy Delivered per Spark from Resistance Charging Circuit?

Energy Delivered per Spark from Resistance Charging Circuit calculator uses Energy Delivered per Spark = (Voltage of Power Supply^2*Time Constant)/Resistance of the Charging Circuit*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)) to calculate the Energy Delivered per Spark, Energy delivered per spark from resistance charging circuit is the parameter which defines the amount of material removed and the surface finish produced. Energy Delivered per Spark is denoted by P symbol.

How to calculate Energy Delivered per Spark from Resistance Charging Circuit using this online calculator? To use this online calculator for Energy Delivered per Spark from Resistance Charging Circuit, enter Voltage of Power Supply (V₀), Time Constant (𝜏), Resistance of the Charging Circuit (R_c) & Time Elapsed (t) and hit the calculate button. Here is how the Energy Delivered per Spark from Resistance Charging Circuit calculation can be explained with given input values -> 355.1941 = (10^2*100)/0.18*(1/2-exp(-12/100)+0.5*exp(-2*12/100)).

FAQ

What is Energy Delivered per Spark from Resistance Charging Circuit?

Energy delivered per spark from resistance charging circuit is the parameter which defines the amount of material removed and the surface finish produced and is represented as P = (V₀^2*𝜏)/R_c*(1/2-exp(-t/𝜏)+0.5*exp(-2*t/𝜏)) or Energy Delivered per Spark = (Voltage of Power Supply^2*Time Constant)/Resistance of the Charging Circuit*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)). Voltage of power supply is the voltage required to charge a given device within given time, Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate, Resistance of the charging circuit is the resistance of the charging circuit & Time elapsed after a particular task is started.

How to calculate Energy Delivered per Spark from Resistance Charging Circuit?

Energy delivered per spark from resistance charging circuit is the parameter which defines the amount of material removed and the surface finish produced is calculated using Energy Delivered per Spark = (Voltage of Power Supply^2*Time Constant)/Resistance of the Charging Circuit*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)). To calculate Energy Delivered per Spark from Resistance Charging Circuit, you need Voltage of Power Supply (V₀), Time Constant (𝜏), Resistance of the Charging Circuit (R_c) & Time Elapsed (t). With our tool, you need to enter the respective value for Voltage of Power Supply, Time Constant, Resistance of the Charging Circuit & Time Elapsed 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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