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
Rb_op = (R2b*R3)/R1b
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
Rb_op = (R2b*R3)/R1b --> (20*32)/10
Evaluating ... ...
Rb_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)

Credits

Created by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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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
Rb_op = (R2b*R3)/R1b

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 Rb_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 (R2b), Resistance 3 (R3) & Resistance 1 (R1b) 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 Rb_op = (R2b*R3)/R1b 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 (R2b), Resistance 3 (R3) & Resistance 1 (R1b). 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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