Value of Unknown Resistance in Wheatstone Bridge Calculator

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✖Resistance 2 is the value of resistance connected in arm AB (ABCD is labelled clockwise, with A being labelled at the top).ⓘ Resistance 2 [R_2b]			+10% -10%
✖Resistance 3 is the value of resistance connected in arm CD (ABCD is labelled clockwise, with A being labelled at the top).ⓘ Resistance 3 [R₃]			+10% -10%
✖Resistance 1 is the value of resistance connected in arm AD (ABCD is labelled clockwise, with A being labelled at the top).ⓘ Resistance 1 [R_1b]			+10% -10%

✖Unknown Resistance b Op is the value of resistance connected in arm BC (ABCD is labelled clockwise, with A being labelled at the top).ⓘ Value of Unknown Resistance in Wheatstone Bridge [R_{b_op}]

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Formula

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Value of Unknown Resistance in Wheatstone Bridge

Formula

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

Example

`"64Ω"=("20Ω"*"32Ω")/"10Ω"`

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Value of Unknown Resistance in Wheatstone Bridge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unknown Resistance b Op = (Resistance 2*Resistance 3)/Resistance 1
R_{b_op} = (R_2b*R₃)/R_1b
This formula uses 4 Variables

Variables Used

Unknown Resistance b Op - (Measured in Ohm) - Unknown Resistance b Op is the value of resistance connected in arm BC (ABCD is labelled clockwise, with A being labelled at the top).
Resistance 2 - (Measured in Ohm) - Resistance 2 is the value of resistance connected in arm AB (ABCD is labelled clockwise, with A being labelled at the top).
Resistance 3 - (Measured in Ohm) - Resistance 3 is the value of resistance connected in arm CD (ABCD is labelled clockwise, with A being labelled at the top).
Resistance 1 - (Measured in Ohm) - Resistance 1 is the value of resistance connected in arm AD (ABCD is labelled clockwise, with A being labelled at the top).

STEP 1: Convert Input(s) to Base Unit

Resistance 2: 20 Ohm --> 20 Ohm No Conversion Required
Resistance 3: 32 Ohm --> 32 Ohm No Conversion Required
Resistance 1: 10 Ohm --> 10 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_{b_op} = (R_2b*R₃)/R_1b --> (20*32)/10

Evaluating ... ...

R_{b_op} = 64

STEP 3: Convert Result to Output's Unit

64 Ohm --> No Conversion Required

FINAL ANSWER

64 Ohm <-- Unknown Resistance b Op

(Calculation completed in 00.000 seconds)

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Credits

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

Devyaani Garg has verified this Calculator and 25+ more calculators!

< 3 Wheatstone Bridge Calculators

Value of Thevenin Resistance

Go Resistance (Thevenin) Op = ((Resistance 1*Resistance 3)/(Resistance 1+Resistance 3))+((Resistance 2*Unknown Resistance b)/(Resistance 2+Unknown Resistance b))

Value of Total Current

Go Current (total) Op = (Voltage (Thevenin))/(Resistance (Thevenin)+Galvanometer Resistance)

Value of Unknown Resistance in Wheatstone Bridge

Go Unknown Resistance b Op = (Resistance 2*Resistance 3)/Resistance 1

Value of Unknown Resistance in Wheatstone Bridge Formula

Unknown Resistance b Op = (Resistance 2*Resistance 3)/Resistance 1
R_{b_op} = (R_2b*R₃)/R_1b

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 Value of Unknown Resistance in Wheatstone Bridge?

Value of Unknown Resistance in Wheatstone Bridge calculator uses Unknown Resistance b Op = (Resistance 2*Resistance 3)/Resistance 1 to calculate the Unknown Resistance b Op, Value of unknown Resistance in Wheatstone Bridge formula is used to calculate the value that resistance which balances te Wheatstone bridge. Unknown Resistance b Op is denoted by R_{b_op} symbol.

How to calculate Value of Unknown Resistance in Wheatstone Bridge using this online calculator? To use this online calculator for Value of Unknown Resistance in Wheatstone Bridge, enter Resistance 2 (R_2b), Resistance 3 (R₃) & Resistance 1 (R_1b) and hit the calculate button. Here is how the Value of Unknown Resistance in Wheatstone Bridge calculation can be explained with given input values -> 64 = (20*32)/10.

FAQ

What is Value of Unknown Resistance in Wheatstone Bridge?

Value of unknown Resistance in Wheatstone Bridge formula is used to calculate the value that resistance which balances te Wheatstone bridge and is represented as R_{b_op} = (R_2b*R₃)/R_1b or Unknown Resistance b Op = (Resistance 2*Resistance 3)/Resistance 1. Resistance 2 is the value of resistance connected in arm AB (ABCD is labelled clockwise, with A being labelled at the top), Resistance 3 is the value of resistance connected in arm CD (ABCD is labelled clockwise, with A being labelled at the top) & Resistance 1 is the value of resistance connected in arm AD (ABCD is labelled clockwise, with A being labelled at the top).

How to calculate Value of Unknown Resistance in Wheatstone Bridge?

Value of unknown Resistance in Wheatstone Bridge formula is used to calculate the value that resistance which balances te Wheatstone bridge is calculated using Unknown Resistance b Op = (Resistance 2*Resistance 3)/Resistance 1. To calculate Value of Unknown Resistance in Wheatstone Bridge, you need Resistance 2 (R_2b), Resistance 3 (R₃) & Resistance 1 (R_1b). With our tool, you need to enter the respective value for Resistance 2, Resistance 3 & Resistance 1 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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