Average Energy Delivered per Spark Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Power = (Voltage of Power Supply^2*Time Constant)/(Resistance of the Charging Circuit*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant))
Pavg = (V0^2*𝜏p)/(Rc*τp)*(1/2-exp(-τp/𝜏p)+0.5*exp(-2*τp/𝜏p))
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
Average Power - (Measured in Watt) - Average power is defined as the ratio of total work done by the body to the total time taken by the body.
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 for Charging Capacitor to Breakdown Voltage - (Measured in Second) - Time for charging capacitor to breakdown voltage is denoted by τ.
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 for Charging Capacitor to Breakdown Voltage: 6 Second --> 6 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pavg = (V0^2*𝜏p)/(Rcp)*(1/2-exp(-τp/𝜏p)+0.5*exp(-2*τp/𝜏p)) --> (10^2*100)/(0.18*6)*(1/2-exp(-6/100)+0.5*exp(-2*6/100))
Evaluating ... ...
Pavg = 15.7007849475002
STEP 3: Convert Result to Output's Unit
15.7007849475002 Watt -->15.7007849475002 Joule per Second (Check conversion here)
FINAL ANSWER
15.7007849475002 15.70078 Joule per Second <-- Average Power
(Calculation completed in 00.020 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

3 Average Power Delivered per Spark Calculators

Voltage of Power Supply from Average Power per Spark
Go Voltage of Power Supply = sqrt((Average Power*Resistance of the Charging Circuit*Time for Charging Capacitor to Breakdown Voltage)/(Time Constant*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant))))
Resistance of Charging Circuit from Average Power per Spark
Go Resistance of the Charging Circuit = (Voltage of Power Supply^2*Time Constant)/(Average Power*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant))
Average Energy Delivered per Spark
Go Average Power = (Voltage of Power Supply^2*Time Constant)/(Resistance of the Charging Circuit*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant))

Average Energy Delivered per Spark Formula

Average Power = (Voltage of Power Supply^2*Time Constant)/(Resistance of the Charging Circuit*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant))
Pavg = (V0^2*𝜏p)/(Rc*τp)*(1/2-exp(-τp/𝜏p)+0.5*exp(-2*τp/𝜏p))

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 Average Energy Delivered per Spark?

Average Energy Delivered per Spark calculator uses Average Power = (Voltage of Power Supply^2*Time Constant)/(Resistance of the Charging Circuit*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant)) to calculate the Average Power, The Average energy delivered per spark formula is defined as the average power that each spark contains in unconventional machining using EDM technique. Average Power is denoted by Pavg symbol.

How to calculate Average Energy Delivered per Spark using this online calculator? To use this online calculator for Average Energy Delivered per Spark, enter Voltage of Power Supply (V0), Time Constant (𝜏p), Resistance of the Charging Circuit (Rc) & Time for Charging Capacitor to Breakdown Voltage p) and hit the calculate button. Here is how the Average Energy Delivered per Spark calculation can be explained with given input values -> 15.70078 = (10^2*100)/(0.18*6)*(1/2-exp(-6/100)+0.5*exp(-2*6/100)).

FAQ

What is Average Energy Delivered per Spark?
The Average energy delivered per spark formula is defined as the average power that each spark contains in unconventional machining using EDM technique and is represented as Pavg = (V0^2*𝜏p)/(Rcp)*(1/2-exp(-τp/𝜏p)+0.5*exp(-2*τp/𝜏p)) or Average Power = (Voltage of Power Supply^2*Time Constant)/(Resistance of the Charging Circuit*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/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 for charging capacitor to breakdown voltage is denoted by τ.
How to calculate Average Energy Delivered per Spark?
The Average energy delivered per spark formula is defined as the average power that each spark contains in unconventional machining using EDM technique is calculated using Average Power = (Voltage of Power Supply^2*Time Constant)/(Resistance of the Charging Circuit*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant)). To calculate Average Energy Delivered per Spark, you need Voltage of Power Supply (V0), Time Constant (𝜏p), Resistance of the Charging Circuit (Rc) & Time for Charging Capacitor to Breakdown Voltage p). With our tool, you need to enter the respective value for Voltage of Power Supply, Time Constant, Resistance of the Charging Circuit & Time for Charging Capacitor to Breakdown Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!