Unknown Resistance in Wheatstone Bridge Calculator

✖Resistance 3 in Wheatstone Bridge is the known resistance value against which an unknown resistance can be measured or compared.ⓘ Resistance 3 in Wheatstone Bridge [R₃]			+10% -10%
✖Resistance 2 in Wheatstone Bridge is the unknown resistance value which is determined by balancing the known bridge resistances.ⓘ Resistance 2 in Wheatstone Bridge [R₂]			+10% -10%
✖Resistance 1 in Wheatstone Bridge is the known resistance value against which an unknown resistance can be measured or compared.ⓘ Resistance 1 in Wheatstone Bridge [R₁]			+10% -10%

✖Resistance 4 in Wheatstone Bridge is the unknown resistance value which is determined by balancing the known bridge resistances.ⓘ Unknown Resistance in Wheatstone Bridge [R₄]

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Formula

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Unknown Resistance in Wheatstone Bridge

Formula

`"R"_{"4"} = "R"_{"3"}*("R"_{"2"}/"R"_{"1"})`

Example

`"33.00008Ω"="65Ω"*("39Ω"/"76.818Ω")`

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Unknown Resistance in Wheatstone Bridge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance 4 in Wheatstone Bridge = Resistance 3 in Wheatstone Bridge*(Resistance 2 in Wheatstone Bridge/Resistance 1 in Wheatstone Bridge)
R₄ = R₃*(R₂/R₁)
This formula uses 4 Variables

Variables Used

Resistance 4 in Wheatstone Bridge - (Measured in Ohm) - Resistance 4 in Wheatstone Bridge is the unknown resistance value which is determined by balancing the known bridge resistances.
Resistance 3 in Wheatstone Bridge - (Measured in Ohm) - Resistance 3 in Wheatstone Bridge is the known resistance value against which an unknown resistance can be measured or compared.
Resistance 2 in Wheatstone Bridge - (Measured in Ohm) - Resistance 2 in Wheatstone Bridge is the unknown resistance value which is determined by balancing the known bridge resistances.
Resistance 1 in Wheatstone Bridge - (Measured in Ohm) - Resistance 1 in Wheatstone Bridge is the known resistance value against which an unknown resistance can be measured or compared.

STEP 1: Convert Input(s) to Base Unit

Resistance 3 in Wheatstone Bridge: 65 Ohm --> 65 Ohm No Conversion Required
Resistance 2 in Wheatstone Bridge: 39 Ohm --> 39 Ohm No Conversion Required
Resistance 1 in Wheatstone Bridge: 76.818 Ohm --> 76.818 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₄ = R₃*(R₂/R₁) --> 65*(39/76.818)

Evaluating ... ...

R₄ = 33.0000781066937

STEP 3: Convert Result to Output's Unit

33.0000781066937 Ohm --> No Conversion Required

FINAL ANSWER

33.0000781066937 ≈ 33.00008 Ohm <-- Resistance 4 in Wheatstone Bridge

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 4 Wheatstone Bridge Calculators

Thevenin Resistance of Wheatstone Bridge

Go Thevenin Resistance in Wheatstone Bridge = ((Resistance 1 in Wheatstone Bridge*Resistance 3 in Wheatstone Bridge)/(Resistance 1 in Wheatstone Bridge+Resistance 3 in Wheatstone Bridge))+((Resistance 2 in Wheatstone Bridge*Resistance 4 in Wheatstone Bridge)/(Resistance 2 in Wheatstone Bridge+Resistance 4 in Wheatstone Bridge))

Galvanometer Current in Wheatstone Bridge

Go Galvanometer Current in Wheatstone Bridge = Thevenin Voltage in Wheatstone Bridge/(Thevenin Resistance in Wheatstone Bridge+Galvanometer Resistance in Wheatstone Bridge)

Unknown Resistance in Wheatstone Bridge

Go Resistance 4 in Wheatstone Bridge = Resistance 3 in Wheatstone Bridge*(Resistance 2 in Wheatstone Bridge/Resistance 1 in Wheatstone Bridge)

Bridge Sensitivity

Go Bridge Sensitivity = (Deflection Angle*(180/pi))/Potential Difference

Unknown Resistance in Wheatstone Bridge Formula

Resistance 4 in Wheatstone Bridge = Resistance 3 in Wheatstone Bridge*(Resistance 2 in Wheatstone Bridge/Resistance 1 in Wheatstone Bridge)
R₄ = R₃*(R₂/R₁)

When is the bridge said to be balanced?

The bridge is said to be balanced when the current through the galvanometer is zero, i.e., the potential across the galvamoneter is same.

How to Calculate Unknown Resistance in Wheatstone Bridge?

Unknown Resistance in Wheatstone Bridge calculator uses Resistance 4 in Wheatstone Bridge = Resistance 3 in Wheatstone Bridge*(Resistance 2 in Wheatstone Bridge/Resistance 1 in Wheatstone Bridge) to calculate the Resistance 4 in Wheatstone Bridge, The unknown Resistance in Wheatstone Bridge formula is used to calculate the value of the unknown resistance by balancing the other resistances of the Wheatstone bridge. Resistance 4 in Wheatstone Bridge is denoted by R₄ symbol.

How to calculate Unknown Resistance in Wheatstone Bridge using this online calculator? To use this online calculator for Unknown Resistance in Wheatstone Bridge, enter Resistance 3 in Wheatstone Bridge (R₃), Resistance 2 in Wheatstone Bridge (R₂) & Resistance 1 in Wheatstone Bridge (R₁) and hit the calculate button. Here is how the Unknown Resistance in Wheatstone Bridge calculation can be explained with given input values -> 33.00008 = 65*(39/76.818).

FAQ

What is Unknown Resistance in Wheatstone Bridge?

The unknown Resistance in Wheatstone Bridge formula is used to calculate the value of the unknown resistance by balancing the other resistances of the Wheatstone bridge and is represented as R₄ = R₃*(R₂/R₁) or Resistance 4 in Wheatstone Bridge = Resistance 3 in Wheatstone Bridge*(Resistance 2 in Wheatstone Bridge/Resistance 1 in Wheatstone Bridge). Resistance 3 in Wheatstone Bridge is the known resistance value against which an unknown resistance can be measured or compared, Resistance 2 in Wheatstone Bridge is the unknown resistance value which is determined by balancing the known bridge resistances & Resistance 1 in Wheatstone Bridge is the known resistance value against which an unknown resistance can be measured or compared.

How to calculate Unknown Resistance in Wheatstone Bridge?

The unknown Resistance in Wheatstone Bridge formula is used to calculate the value of the unknown resistance by balancing the other resistances of the Wheatstone bridge is calculated using Resistance 4 in Wheatstone Bridge = Resistance 3 in Wheatstone Bridge*(Resistance 2 in Wheatstone Bridge/Resistance 1 in Wheatstone Bridge). To calculate Unknown Resistance in Wheatstone Bridge, you need Resistance 3 in Wheatstone Bridge (R₃), Resistance 2 in Wheatstone Bridge (R₂) & Resistance 1 in Wheatstone Bridge (R₁). With our tool, you need to enter the respective value for Resistance 3 in Wheatstone Bridge, Resistance 2 in Wheatstone Bridge & Resistance 1 in Wheatstone Bridge 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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