Fraction of Full Scale Current for Shunt Type Ohmmeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fraction Value = Unknown Resistance/(Unknown Resistance+Meter Resistance)
S = Rx/(Rx+Rm)
This formula uses 3 Variables
Variables Used
Fraction Value - Fraction Value refers to the fraction of the full-scale reading displayed on the instrument's scale. It's a fractional part of the maximum resistance range that the ohmmeter can measure.
Unknown Resistance - (Measured in Ohm) - Unknown Resistance is the value of the unknown resistance connected for measurement.
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
Unknown Resistance: 140 Ohm --> 140 Ohm No Conversion Required
Meter Resistance: 75 Ohm --> 75 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = Rx/(Rx+Rm) --> 140/(140+75)
Evaluating ... ...
S = 0.651162790697674
STEP 3: Convert Result to Output's Unit
0.651162790697674 --> No Conversion Required
FINAL ANSWER
0.651162790697674 0.651163 <-- Fraction Value
(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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Verified by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
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3 Shunt Type Calculators

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

Fraction of Full Scale Current for Shunt Type Ohmmeter Formula

Fraction Value = Unknown Resistance/(Unknown Resistance+Meter Resistance)
S = Rx/(Rx+Rm)

How to mark infinity reading?

To mark infinity reading on the scale, the terminals are opened and Rx is made infinite. Now, maximum current is flowing in the circuit and R2 is adjusted till D'Arsonal movement indicates full-scale current.

How to Calculate Fraction of Full Scale Current for Shunt Type Ohmmeter?

Fraction of Full Scale Current for Shunt Type Ohmmeter calculator uses Fraction Value = Unknown Resistance/(Unknown Resistance+Meter Resistance) to calculate the Fraction Value, The Fraction of Full Scale Current for Shunt Type Ohmmeter is defined as the ratio of the current flowing through the meter movement when the meter reads a specific fraction of its full-scale deflection. It indicates the proportion of the maximum current that the meter can handle when displaying a certain reading. Fraction Value is denoted by S symbol.

How to calculate Fraction of Full Scale Current for Shunt Type Ohmmeter using this online calculator? To use this online calculator for Fraction of Full Scale Current for Shunt Type Ohmmeter, enter Unknown Resistance (Rx) & Meter Resistance (Rm) and hit the calculate button. Here is how the Fraction of Full Scale Current for Shunt Type Ohmmeter calculation can be explained with given input values -> 0.955631 = 140/(140+75).

FAQ

What is Fraction of Full Scale Current for Shunt Type Ohmmeter?
The Fraction of Full Scale Current for Shunt Type Ohmmeter is defined as the ratio of the current flowing through the meter movement when the meter reads a specific fraction of its full-scale deflection. It indicates the proportion of the maximum current that the meter can handle when displaying a certain reading and is represented as S = Rx/(Rx+Rm) or Fraction Value = Unknown Resistance/(Unknown Resistance+Meter Resistance). Unknown Resistance is the value of the unknown resistance connected for measurement & 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 Fraction of Full Scale Current for Shunt Type Ohmmeter?
The Fraction of Full Scale Current for Shunt Type Ohmmeter is defined as the ratio of the current flowing through the meter movement when the meter reads a specific fraction of its full-scale deflection. It indicates the proportion of the maximum current that the meter can handle when displaying a certain reading is calculated using Fraction Value = Unknown Resistance/(Unknown Resistance+Meter Resistance). To calculate Fraction of Full Scale Current for Shunt Type Ohmmeter, you need Unknown Resistance (Rx) & Meter Resistance (Rm). With our tool, you need to enter the respective value for Unknown 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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