Charging Current in Relaxation Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Charging Current at any Time = Voltage of Power Supply/Resistance of the Charging Circuit*exp(-Time Elapsed/Time Constant)
ic = V0/Rc*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
Charging Current at any Time - (Measured in Ampere) - Charging current at any time t is the current at any given instance of time.
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.
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
Voltage of Power Supply: 1.2 Volt --> 1.2 Volt No Conversion Required
Resistance of the Charging Circuit: 0.18 Ohm --> 0.18 Ohm 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
ic = V0/Rc*exp(-tc/𝜏c) --> 1.2/0.18*exp(-10.5/100)
Evaluating ... ...
ic = 6.00216348390844
STEP 3: Convert Result to Output's Unit
6.00216348390844 Ampere --> No Conversion Required
FINAL ANSWER
6.00216348390844 6.002163 Ampere <-- Charging Current at any Time
(Calculation completed in 00.004 seconds)

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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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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)

Charging Current in Relaxation Circuit Formula

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

Charging Current in Relaxation Circuit calculator uses Charging Current at any Time = Voltage of Power Supply/Resistance of the Charging Circuit*exp(-Time Elapsed/Time Constant) to calculate the Charging Current at any Time, The Charging current in relaxation circuit formula is defined as the heavy current, that will flow in the circuit to charge the capacitor. Charging Current at any Time is denoted by ic symbol.

How to calculate Charging Current in Relaxation Circuit using this online calculator? To use this online calculator for Charging Current in Relaxation Circuit, enter Voltage of Power Supply (V0), Resistance of the Charging Circuit (Rc), Time Elapsed (tc) & Time Constant (𝜏c) and hit the calculate button. Here is how the Charging Current in Relaxation Circuit calculation can be explained with given input values -> 5.912803 = 1.2/0.18*exp(-10.5/100).

FAQ

What is Charging Current in Relaxation Circuit?
The Charging current in relaxation circuit formula is defined as the heavy current, that will flow in the circuit to charge the capacitor and is represented as ic = V0/Rc*exp(-tc/𝜏c) or Charging Current at any Time = Voltage of Power Supply/Resistance of the Charging Circuit*exp(-Time Elapsed/Time Constant). Voltage of power supply is the voltage required to charge a given device within given time, Resistance of the charging circuit is the resistance of the charging circuit, 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 Charging Current in Relaxation Circuit?
The Charging current in relaxation circuit formula is defined as the heavy current, that will flow in the circuit to charge the capacitor is calculated using Charging Current at any Time = Voltage of Power Supply/Resistance of the Charging Circuit*exp(-Time Elapsed/Time Constant). To calculate Charging Current in Relaxation Circuit, you need Voltage of Power Supply (V0), Resistance of the Charging Circuit (Rc), Time Elapsed (tc) & Time Constant (𝜏c). With our tool, you need to enter the respective value for Voltage of Power Supply, Resistance of the Charging Circuit, 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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