Resistance of circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance of the Charging Circuit = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Material Removal Rate*ln(1-(Voltage at any Time t/Voltage of Power Supply)))
Rc = -(Kmrr*Vc^2)/(2*MRR*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.
Proportionality Constant of MRR - Proportionality constant of MRR is a proportionality constant defined to calculate MRR.
Voltage at any Time t - (Measured in Volt) - Voltage at any time t is the charging voltage in the circuit at any given time.
Material Removal Rate - (Measured in Kilogram per Second) - Material Removal Rate is the rate at which the material is removed from the work metal.
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
Proportionality Constant of MRR: 1.5 --> No Conversion Required
Voltage at any Time t: 2 Volt --> 2 Volt No Conversion Required
Material Removal Rate: 74690 Gram per Second --> 74.69 Kilogram per Second (Check conversion here)
Voltage of Power Supply: 10 Volt --> 10 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rc = -(Kmrr*Vc^2)/(2*MRR*ln(1-(Vc/V0))) --> -(1.5*2^2)/(2*74.69*ln(1-(2/10)))
Evaluating ... ...
Rc = 0.180000808048918
STEP 3: Convert Result to Output's Unit
0.180000808048918 Ohm --> No Conversion Required
FINAL ANSWER
0.180000808048918 0.180001 Ohm <-- Resistance of the Charging Circuit
(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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7 Material removal rate (MRR) Calculators

Proportionality constant for MRR
Go Proportionality Constant of MRR = -(Material Removal Rate*(2*Resistance of the Charging Circuit*ln(1-(Voltage at any Time t/Voltage of Power Supply))))/Voltage at any Time t^2
Material removal rate, MRR
Go Material Removal Rate = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*ln(1-(Voltage at any Time t/Voltage of Power Supply)))
Resistance of circuit
Go Resistance of the Charging Circuit = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Material Removal Rate*ln(1-(Voltage at any Time t/Voltage of Power Supply)))
Input power supply to achieve given MRR
Go Voltage of Power Supply = Voltage at any Time t/(1-exp(-(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*Metal Removal Rate)))
Metal removal rate from volume of crater
Go Metal Removal Rate = Volume of Crater*Frequency of Charging
Frequency of charging from volume crater
Go Frequency of Charging = Metal Removal Rate/Volume of Crater
Volume of crater from MRR
Go Volume of Crater = Metal Removal Rate/Frequency of Charging

Resistance of circuit Formula

Resistance of the Charging Circuit = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Material Removal Rate*ln(1-(Voltage at any Time t/Voltage of Power Supply)))
Rc = -(Kmrr*Vc^2)/(2*MRR*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 circuit?

Resistance of circuit calculator uses Resistance of the Charging Circuit = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Material Removal Rate*ln(1-(Voltage at any Time t/Voltage of Power Supply))) to calculate the Resistance of the Charging Circuit, The Resistance of circuit formula is defined as the resistance offered by the circuit. It is much useful in determining the current and potential in the circuit. Resistance of the Charging Circuit is denoted by Rc symbol.

How to calculate Resistance of circuit using this online calculator? To use this online calculator for Resistance of circuit, enter Proportionality Constant of MRR (Kmrr), Voltage at any Time t (Vc), Material Removal Rate (MRR) & Voltage of Power Supply (V0) and hit the calculate button. Here is how the Resistance of circuit calculation can be explained with given input values -> 46471.69 = -(1.5*2^2)/(2*74.69*ln(1-(2/10))).

FAQ

What is Resistance of circuit?
The Resistance of circuit formula is defined as the resistance offered by the circuit. It is much useful in determining the current and potential in the circuit and is represented as Rc = -(Kmrr*Vc^2)/(2*MRR*ln(1-(Vc/V0))) or Resistance of the Charging Circuit = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Material Removal Rate*ln(1-(Voltage at any Time t/Voltage of Power Supply))). Proportionality constant of MRR is a proportionality constant defined to calculate MRR, Voltage at any time t is the charging voltage in the circuit at any given time, Material Removal Rate is the rate at which the material is removed from the work metal & Voltage of power supply is the voltage required to charge a given device within given time.
How to calculate Resistance of circuit?
The Resistance of circuit formula is defined as the resistance offered by the circuit. It is much useful in determining the current and potential in the circuit is calculated using Resistance of the Charging Circuit = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Material Removal Rate*ln(1-(Voltage at any Time t/Voltage of Power Supply))). To calculate Resistance of circuit, you need Proportionality Constant of MRR (Kmrr), Voltage at any Time t (Vc), Material Removal Rate (MRR) & Voltage of Power Supply (V0). With our tool, you need to enter the respective value for Proportionality Constant of MRR, Voltage at any Time t, Material Removal Rate & 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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