Half Scale Resistance for Series Type Ohmmeter Calculator

✖Voltage Source Series is the value of the voltage applied in the series ohmmeter.ⓘ Voltage Source Series [E₂]			+10% -10%
✖Series Resistance is the current limiting resistance in an ohmmeter.ⓘ Series Resistance [R_s2]			+10% -10%
✖Current Full Scale Reading represents the maximum current that the ohmmeter will pass through the resistor when it's being measured at its highest resistance value.ⓘ Current Full Scale Reading [I_f2]			+10% -10%
✖Resistance of Series Meter is an instrument resistance.ⓘ Resistance of Series Meter [R_m2]			+10% -10%

✖Unknown Series Resistance is the value of the unknown resistance connected for measurement.ⓘ Half Scale Resistance for Series Type Ohmmeter [R_x2]

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Formula

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Half Scale Resistance for Series Type Ohmmeter

Formula

`"R"_{"x2"} = "E"_{"2"}*"R"_{"s2"}/("I"_{"f2"}*"R"_{"s2"}+"I"_{"f2"}*"R"_{"m2"})`

Example

`"0.714286Ω"="0.5V"*"0.8Ω"/("0.2A"*"0.8Ω"+"0.2A"*"2Ω")`

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Half Scale Resistance for Series Type Ohmmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unknown Series Resistance = Voltage Source Series*Series Resistance/(Current Full Scale Reading*Series Resistance+Current Full Scale Reading*Resistance of Series Meter)
R_x2 = E₂*R_s2/(I_f2*R_s2+I_f2*R_m2)
This formula uses 5 Variables

Variables Used

Unknown Series Resistance - (Measured in Ohm) - Unknown Series Resistance is the value of the unknown resistance connected for measurement.
Voltage Source Series - (Measured in Volt) - Voltage Source Series is the value of the voltage applied in the series ohmmeter.
Series Resistance - (Measured in Ohm) - Series Resistance is the current limiting resistance in an ohmmeter.
Current Full Scale Reading - (Measured in Ampere) - Current Full Scale Reading represents the maximum current that the ohmmeter will pass through the resistor when it's being measured at its highest resistance value.
Resistance of Series Meter - (Measured in Ohm) - Resistance of Series Meter is an instrument resistance.

STEP 1: Convert Input(s) to Base Unit

Voltage Source Series: 0.5 Volt --> 0.5 Volt No Conversion Required
Series Resistance: 0.8 Ohm --> 0.8 Ohm No Conversion Required
Current Full Scale Reading: 0.2 Ampere --> 0.2 Ampere No Conversion Required
Resistance of Series Meter: 2 Ohm --> 2 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_x2 = E₂*R_s2/(I_f2*R_s2+I_f2*R_m2) --> 0.5*0.8/(0.2*0.8+0.2*2)

Evaluating ... ...

R_x2 = 0.714285714285714

STEP 3: Convert Result to Output's Unit

0.714285714285714 Ohm --> No Conversion Required

FINAL ANSWER

0.714285714285714 ≈ 0.714286 Ohm <-- Unknown Series Resistance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Ohmmeter » Series Type » Half Scale Resistance for Series Type Ohmmeter

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 3 Series Type Calculators

Shunt Adjustable Resistance for Series Type Ohmmeter

Go Series Resistance = Current Full Scale Reading*Unknown Series Resistance*Resistance of Series Meter/(Voltage Source Series-(Current Full Scale Reading*Unknown Series Resistance))

Half Scale Resistance for Series Type Ohmmeter

Go Unknown Series Resistance = Voltage Source Series*Series Resistance/(Current Full Scale Reading*Series Resistance+Current Full Scale Reading*Resistance of Series Meter)

Current Limiting Resistance for Series Type Ohmmeter

Go Series Resistance = Unknown Series Resistance-((Current Full Scale Reading*Resistance of Series Meter*Unknown Series Resistance)/Voltage Source Series)

Half Scale Resistance for Series Type Ohmmeter Formula

What is Half Scale Operation?

If the unknown resistance is adjusted such that the basic meter in the ohmmeter shows half of full scale reading, It is called Half Scale Operation.

How to Calculate Half Scale Resistance for Series Type Ohmmeter?

Half Scale Resistance for Series Type Ohmmeter calculator uses Unknown Series Resistance = Voltage Source Series*Series Resistance/(Current Full Scale Reading*Series Resistance+Current Full Scale Reading*Resistance of Series Meter) to calculate the Unknown Series Resistance, The Half Scale Resistance for Series Type Ohmmeter formula is directly dependent on the voltage applied and the shunt resistance. It gives the unknown resistance at half scale operation. Unknown Series Resistance is denoted by R_x2 symbol.

How to calculate Half Scale Resistance for Series Type Ohmmeter using this online calculator? To use this online calculator for Half Scale Resistance for Series Type Ohmmeter, enter Voltage Source Series (E₂), Series Resistance (R_s2), Current Full Scale Reading (I_f2) & Resistance of Series Meter (R_m2) and hit the calculate button. Here is how the Half Scale Resistance for Series Type Ohmmeter calculation can be explained with given input values -> 0.757597 = 0.5*0.8/(0.2*0.8+0.2*2).

FAQ

What is Half Scale Resistance for Series Type Ohmmeter?

The Half Scale Resistance for Series Type Ohmmeter formula is directly dependent on the voltage applied and the shunt resistance. It gives the unknown resistance at half scale operation and is represented as R_x2 = E₂*R_s2/(I_f2*R_s2+I_f2*R_m2) or Unknown Series Resistance = Voltage Source Series*Series Resistance/(Current Full Scale Reading*Series Resistance+Current Full Scale Reading*Resistance of Series Meter). Voltage Source Series is the value of the voltage applied in the series ohmmeter, Series Resistance is the current limiting resistance in an ohmmeter, Current Full Scale Reading represents the maximum current that the ohmmeter will pass through the resistor when it's being measured at its highest resistance value & Resistance of Series Meter is an instrument resistance.

How to calculate Half Scale Resistance for Series Type Ohmmeter?

The Half Scale Resistance for Series Type Ohmmeter formula is directly dependent on the voltage applied and the shunt resistance. It gives the unknown resistance at half scale operation is calculated using Unknown Series Resistance = Voltage Source Series*Series Resistance/(Current Full Scale Reading*Series Resistance+Current Full Scale Reading*Resistance of Series Meter). To calculate Half Scale Resistance for Series Type Ohmmeter, you need Voltage Source Series (E₂), Series Resistance (R_s2), Current Full Scale Reading (I_f2) & Resistance of Series Meter (R_m2). With our tool, you need to enter the respective value for Voltage Source Series, Series Resistance, Current Full Scale Reading & Resistance of Series Meter 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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