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)

Credits

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Created by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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Wheatstone Bridge Calculators

Thevenin Resistance of Wheatstone Bridge
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Resistance 4 in Wheatstone Bridge = Resistance 3 in Wheatstone Bridge*(Resistance 2 in Wheatstone Bridge/Resistance 1 in Wheatstone Bridge)

Unknown Resistance in Wheatstone Bridge Formula

​LaTeX ​Go
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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