Minimum Resistance in Circuit Calculator

✖Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.ⓘ Inductance [L]			+10% -10%
✖Capacitance of Minimum Resistance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance of Minimum Resistance [C_r]			+10% -10%

✖Minimum Resistance is the minimum resistance of the circuit.ⓘ Minimum Resistance in Circuit [R_min]

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Formula

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Minimum Resistance in Circuit

Formula

`"R"_{"min"} = 30*sqrt("L"/"C"_{"r"})`

Example

`"38.61902Ω"=30*sqrt("5.8H"/"3.5F")`

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Minimum Resistance in Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Resistance = 30*sqrt(Inductance/Capacitance of Minimum Resistance)
R_min = 30*sqrt(L/C_r)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Minimum Resistance - (Measured in Ohm) - Minimum Resistance is the minimum resistance of the circuit.
Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
Capacitance of Minimum Resistance - (Measured in Farad) - Capacitance of Minimum Resistance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

STEP 1: Convert Input(s) to Base Unit

Inductance: 5.8 Henry --> 5.8 Henry No Conversion Required
Capacitance of Minimum Resistance: 3.5 Farad --> 3.5 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_min = 30*sqrt(L/C_r) --> 30*sqrt(5.8/3.5)

Evaluating ... ...

R_min = 38.6190182608074

STEP 3: Convert Result to Output's Unit

38.6190182608074 Ohm --> No Conversion Required

FINAL ANSWER

38.6190182608074 ≈ 38.61902 Ohm <-- Minimum Resistance

(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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National Institute Of Technology (NIT), Hamirpur

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< 2 Minimum Resistance in the Circuit Calculators

Minimum Resistance in Circuit

Go Minimum Resistance = 30*sqrt(Inductance/Capacitance of Minimum Resistance)

Capacitance of Circuit using Resistance Minimum

Go Capacitance of Minimum Resistance = Inductance/((Minimum Resistance/30)^2)

Minimum Resistance in Circuit Formula

Minimum Resistance = 30*sqrt(Inductance/Capacitance of Minimum Resistance)
R_min = 30*sqrt(L/C_r)

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 Minimum Resistance in Circuit?

Minimum Resistance in Circuit calculator uses Minimum Resistance = 30*sqrt(Inductance/Capacitance of Minimum Resistance) to calculate the Minimum Resistance, The Minimum resistance in circuit formula is defined as minimum possible sum of inductive resistance and resistance of sparking load in discharging circuit. Minimum Resistance is denoted by R_min symbol.

How to calculate Minimum Resistance in Circuit using this online calculator? To use this online calculator for Minimum Resistance in Circuit, enter Inductance (L) & Capacitance of Minimum Resistance (C_r) and hit the calculate button. Here is how the Minimum Resistance in Circuit calculation can be explained with given input values -> 38.61902 = 30*sqrt(5.8/3.5).

FAQ

What is Minimum Resistance in Circuit?

The Minimum resistance in circuit formula is defined as minimum possible sum of inductive resistance and resistance of sparking load in discharging circuit and is represented as R_min = 30*sqrt(L/C_r) or Minimum Resistance = 30*sqrt(Inductance/Capacitance of Minimum Resistance). Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it & Capacitance of Minimum Resistance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

How to calculate Minimum Resistance in Circuit?

The Minimum resistance in circuit formula is defined as minimum possible sum of inductive resistance and resistance of sparking load in discharging circuit is calculated using Minimum Resistance = 30*sqrt(Inductance/Capacitance of Minimum Resistance). To calculate Minimum Resistance in Circuit, you need Inductance (L) & Capacitance of Minimum Resistance (C_r). With our tool, you need to enter the respective value for Inductance & Capacitance of Minimum Resistance 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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