Resistance of Charging Circuit EDM Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance of the Charging Circuit = -1/(Frequency of Charging*Capacitance*ln(1-Voltage at any time t/Voltage of Power Supply))
Rc = -1/(fc*C*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
Resistance of the Charging Circuit - (Measured in Ohm) - Resistance of the charging circuit is the resistance of the charging circuit.
Frequency of Charging - (Measured in Hertz) - Frequency of charging is the frequency at which the circuit capacitor is charged.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Voltage at any time t - (Measured in Volt) - Voltage at any time t 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
Frequency of Charging: 4 Cycle per Second --> 4 Hertz (Check conversion here)
Capacitance: 6.22 Farad --> 6.22 Farad No Conversion Required
Voltage at any time t: 2 Volt --> 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
Rc = -1/(fc*C*ln(1-Vc/V0)) --> -1/(4*6.22*ln(1-2/10))
Evaluating ... ...
Rc = 0.18012138736835
STEP 3: Convert Result to Output's Unit
0.18012138736835 Ohm --> No Conversion Required
FINAL ANSWER
0.18012138736835 0.180121 Ohm <-- Resistance of the Charging Circuit
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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5 Frequency of charging Calculators

Charging Voltage from Resistance Charging Circuit
Go Voltage at any time t = Voltage of Power Supply*(1-exp(-1/(Resistance of the Charging Circuit*Capacitance*Frequency of Charging)))
Supply Voltage
Go Voltage of Power Supply = Voltage at any time t/(1-exp(-1/(Resistance of the Charging Circuit*Capacitance*Frequency of Charging)))
Resistance of Charging Circuit EDM
Go Resistance of the Charging Circuit = -1/(Frequency of Charging*Capacitance*ln(1-Voltage at any time t/Voltage of Power Supply))
Capacitance of Charging Circuit
Go Capacitance = -1/(Resistance of the Charging Circuit*Frequency of Charging*ln(1-Voltage at any time t/Voltage of Power Supply))
Frequency of Charging
Go Frequency of Charging = -1/(Resistance of the Charging Circuit*Capacitance*ln(1-Voltage at any time t/Voltage of Power Supply))

Resistance of Charging Circuit EDM Formula

Resistance of the Charging Circuit = -1/(Frequency of Charging*Capacitance*ln(1-Voltage at any time t/Voltage of Power Supply))
Rc = -1/(fc*C*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 Resistance of Charging Circuit EDM?

Resistance of Charging Circuit EDM calculator uses Resistance of the Charging Circuit = -1/(Frequency of Charging*Capacitance*ln(1-Voltage at any time t/Voltage of Power Supply)) to calculate the Resistance of the Charging Circuit, The Resistance of charging circuit EDM formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit. Resistance of the Charging Circuit is denoted by Rc symbol.

How to calculate Resistance of Charging Circuit EDM using this online calculator? To use this online calculator for Resistance of Charging Circuit EDM, enter Frequency of Charging (fc), Capacitance (C), Voltage at any time t (Vc) & Voltage of Power Supply (V0) and hit the calculate button. Here is how the Resistance of Charging Circuit EDM calculation can be explained with given input values -> 0.001801 = -1/(4*6.22*ln(1-2/10)).

FAQ

What is Resistance of Charging Circuit EDM?
The Resistance of charging circuit EDM formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit and is represented as Rc = -1/(fc*C*ln(1-Vc/V0)) or Resistance of the Charging Circuit = -1/(Frequency of Charging*Capacitance*ln(1-Voltage at any time t/Voltage of Power Supply)). Frequency of charging is the frequency at which the circuit capacitor is charged, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential, Voltage at any time t 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 Resistance of Charging Circuit EDM?
The Resistance of charging circuit EDM formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit is calculated using Resistance of the Charging Circuit = -1/(Frequency of Charging*Capacitance*ln(1-Voltage at any time t/Voltage of Power Supply)). To calculate Resistance of Charging Circuit EDM, you need Frequency of Charging (fc), Capacitance (C), Voltage at any time t (Vc) & Voltage of Power Supply (V0). With our tool, you need to enter the respective value for Frequency of Charging, Capacitance, Voltage at any time t & 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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