Meter Current for Shunt Type Ohmmeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Meter Current = (Source Voltage*Unknown Resistance)/(Shunt Resistance*Meter Resistance+Unknown Resistance*Shunt Resistance+Unknown Resistance*Meter Resistance)
Im = (Vs*Rx)/(Rs*Rm+Rx*Rs+Rx*Rm)
This formula uses 5 Variables
Variables Used
Meter Current - (Measured in Ampere) - Meter Current is the current flowing through the coil of an ohmmeter when in working state.
Source Voltage - (Measured in Volt) - Source Voltage refers to as a fundamental element that supplies electrical energy to a circuit.
Unknown Resistance - (Measured in Ohm) - Unknown Resistance is the value of the unknown resistance connected for measurement.
Shunt Resistance - (Measured in Ohm) - Shunt Resistance is a type of resistor specifically designed to divert or shunt a known portion of electrical current away from a primary circuit.
Meter Resistance - (Measured in Ohm) - Meter Resistance refers to the internal resistance of a measuring instrument. This resistance is inherent to the design of the instrument and affects the accuracy of measurements made by the device.
STEP 1: Convert Input(s) to Base Unit
Source Voltage: 220 Volt --> 220 Volt No Conversion Required
Unknown Resistance: 140 Ohm --> 140 Ohm No Conversion Required
Shunt Resistance: 37.5 Ohm --> 37.5 Ohm No Conversion Required
Meter Resistance: 75 Ohm --> 75 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Im = (Vs*Rx)/(Rs*Rm+Rx*Rs+Rx*Rm) --> (220*140)/(37.5*75+140*37.5+140*75)
Evaluating ... ...
Im = 1.65925925925926
STEP 3: Convert Result to Output's Unit
1.65925925925926 Ampere --> No Conversion Required
FINAL ANSWER
1.65925925925926 1.659259 Ampere <-- Meter Current
(Calculation completed in 00.004 seconds)

Credits

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Created by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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Shiv Nadar University (SNU), Greater Noida
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Shunt Type Calculators

Meter Current for Shunt Type Ohmmeter
​ LaTeX ​ Go Meter Current = (Source Voltage*Unknown Resistance)/(Shunt Resistance*Meter Resistance+Unknown Resistance*Shunt Resistance+Unknown Resistance*Meter Resistance)
Half Scale Resistance for Shunt Type Ohmmeter
​ LaTeX ​ Go Half Scale Resistance = (Shunt Resistance*Meter Resistance)/(Shunt Resistance+Meter Resistance)
Fraction of Full Scale Current for Shunt Type Ohmmeter
​ LaTeX ​ Go Fraction Value = Unknown Resistance/(Unknown Resistance+Meter Resistance)

Meter Current for Shunt Type Ohmmeter Formula

​LaTeX ​Go
Meter Current = (Source Voltage*Unknown Resistance)/(Shunt Resistance*Meter Resistance+Unknown Resistance*Shunt Resistance+Unknown Resistance*Meter Resistance)
Im = (Vs*Rx)/(Rs*Rm+Rx*Rs+Rx*Rm)

How to mark zero reading?

To mark zero reading on the scale, the terminals are shorted and Rx is made zero. Now, no current is flowing in the circuit D'Arsonal movement indicates zero current.

How to Calculate Meter Current for Shunt Type Ohmmeter?

Meter Current for Shunt Type Ohmmeter calculator uses Meter Current = (Source Voltage*Unknown Resistance)/(Shunt Resistance*Meter Resistance+Unknown Resistance*Shunt Resistance+Unknown Resistance*Meter Resistance) to calculate the Meter Current, Meter Current for Shunt Type Ohmmeter formula gives magnitude of meter current for a given voltage source, meter resistance, series adjusting resistance and unknown resistance. Meter Current is denoted by Im symbol.

How to calculate Meter Current for Shunt Type Ohmmeter using this online calculator? To use this online calculator for Meter Current for Shunt Type Ohmmeter, enter Source Voltage (Vs), Unknown Resistance (Rx), Shunt Resistance (Rs) & Meter Resistance (Rm) and hit the calculate button. Here is how the Meter Current for Shunt Type Ohmmeter calculation can be explained with given input values -> 0.116902 = (220*140)/(37.5*75+140*37.5+140*75).

FAQ

What is Meter Current for Shunt Type Ohmmeter?
Meter Current for Shunt Type Ohmmeter formula gives magnitude of meter current for a given voltage source, meter resistance, series adjusting resistance and unknown resistance and is represented as Im = (Vs*Rx)/(Rs*Rm+Rx*Rs+Rx*Rm) or Meter Current = (Source Voltage*Unknown Resistance)/(Shunt Resistance*Meter Resistance+Unknown Resistance*Shunt Resistance+Unknown Resistance*Meter Resistance). Source Voltage refers to as a fundamental element that supplies electrical energy to a circuit, Unknown Resistance is the value of the unknown resistance connected for measurement, Shunt Resistance is a type of resistor specifically designed to divert or shunt a known portion of electrical current away from a primary circuit & Meter Resistance refers to the internal resistance of a measuring instrument. This resistance is inherent to the design of the instrument and affects the accuracy of measurements made by the device.
How to calculate Meter Current for Shunt Type Ohmmeter?
Meter Current for Shunt Type Ohmmeter formula gives magnitude of meter current for a given voltage source, meter resistance, series adjusting resistance and unknown resistance is calculated using Meter Current = (Source Voltage*Unknown Resistance)/(Shunt Resistance*Meter Resistance+Unknown Resistance*Shunt Resistance+Unknown Resistance*Meter Resistance). To calculate Meter Current for Shunt Type Ohmmeter, you need Source Voltage (Vs), Unknown Resistance (Rx), Shunt Resistance (Rs) & Meter Resistance (Rm). With our tool, you need to enter the respective value for Source Voltage, Unknown Resistance, Shunt Resistance & Meter 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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