Power Supply during Charging Solution

STEP 0: Pre-Calculation Summary
Formula Used
Voltage of Power Supply = (Resistance of the Charging Circuit*Charging Current at any Time)/(exp(-Time Elapsed/Time Constant))
V0 = (Rc*ic)/(exp(-tc/𝜏c))
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 of Power Supply - (Measured in Volt) - Voltage of power supply is the voltage required to charge a given device within given time.
Resistance of the Charging Circuit - (Measured in Ohm) - Resistance of the charging circuit is the resistance of the charging circuit.
Charging Current at any Time - (Measured in Ampere) - Charging current at any time t is the current at any given instance of time.
Time Elapsed - (Measured in Second) - Time elapsed after a particular task is started.
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.
STEP 1: Convert Input(s) to Base Unit
Resistance of the Charging Circuit: 0.18 Ohm --> 0.18 Ohm No Conversion Required
Charging Current at any Time: 6 Ampere --> 6 Ampere No Conversion Required
Time Elapsed: 10.5 Second --> 10.5 Second No Conversion Required
Time Constant: 100 Second --> 100 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V0 = (Rc*ic)/(exp(-tc/𝜏c)) --> (0.18*6)/(exp(-10.5/100))
Evaluating ... ...
V0 = 1.19956745918416
STEP 3: Convert Result to Output's Unit
1.19956745918416 Volt --> No Conversion Required
FINAL ANSWER
1.19956745918416 1.199567 Volt <-- Voltage of Power Supply
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

5 Charging Current for EDM Calculators

Power Supply during Charging
Go Voltage of Power Supply = (Resistance of the Charging Circuit*Charging Current at any Time)/(exp(-Time Elapsed/Time Constant))
Resistance of Charging Circuit
Go Resistance of the Charging Circuit = (Voltage of Power Supply*exp(-Time Elapsed/Time Constant))/Charging Current at any Time
Time Constant from Charging Current
Go Time Constant = -Time Elapsed/ln((Charging Current at any Time*Resistance of the Charging Circuit)/Voltage of Power Supply)
Time Elapsed during Charging
Go Time Elapsed = -Time Constant*ln((Charging Current at any Time*Resistance of the Charging Circuit)/Voltage of Power Supply)
Charging Current in Relaxation Circuit
Go Charging Current at any Time = Voltage of Power Supply/Resistance of the Charging Circuit*exp(-Time Elapsed/Time Constant)

Power Supply during Charging Formula

Voltage of Power Supply = (Resistance of the Charging Circuit*Charging Current at any Time)/(exp(-Time Elapsed/Time Constant))
V0 = (Rc*ic)/(exp(-tc/𝜏c))

How is the spark 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 Power Supply during Charging?

Power Supply during Charging calculator uses Voltage of Power Supply = (Resistance of the Charging Circuit*Charging Current at any Time)/(exp(-Time Elapsed/Time Constant)) to calculate the Voltage of Power Supply, The Power supply during charging formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM. Voltage of Power Supply is denoted by V0 symbol.

How to calculate Power Supply during Charging using this online calculator? To use this online calculator for Power Supply during Charging, enter Resistance of the Charging Circuit (Rc), Charging Current at any Time (ic), Time Elapsed (tc) & Time Constant (𝜏c) and hit the calculate button. Here is how the Power Supply during Charging calculation can be explained with given input values -> 1.217697 = (0.18*6)/(exp(-10.5/100)).

FAQ

What is Power Supply during Charging?
The Power supply during charging formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM and is represented as V0 = (Rc*ic)/(exp(-tc/𝜏c)) or Voltage of Power Supply = (Resistance of the Charging Circuit*Charging Current at any Time)/(exp(-Time Elapsed/Time Constant)). Resistance of the charging circuit is the resistance of the charging circuit, Charging current at any time t is the current at any given instance of time, Time elapsed after a particular task is started & 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.
How to calculate Power Supply during Charging?
The Power supply during charging formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM is calculated using Voltage of Power Supply = (Resistance of the Charging Circuit*Charging Current at any Time)/(exp(-Time Elapsed/Time Constant)). To calculate Power Supply during Charging, you need Resistance of the Charging Circuit (Rc), Charging Current at any Time (ic), Time Elapsed (tc) & Time Constant (𝜏c). With our tool, you need to enter the respective value for Resistance of the Charging Circuit, Charging Current at any Time, Time Elapsed & Time Constant 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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