Thevenin Resistance of Wheatstone Bridge Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Rth = ((R1*R3)/(R1+R3))+((R2*R4)/(R2+R4))
This formula uses 5 Variables
Variables Used
Thevenin Resistance in Wheatstone Bridge - (Measured in Ohm) - Thevenin Resistance in Wheatstone Bridge is the equivalent resistance seen at the output terminals when all the independent voltage and current sources are replaced with their equivalents.
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.
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 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.
STEP 1: Convert Input(s) to Base Unit
Resistance 1 in Wheatstone Bridge: 76.818 Ohm --> 76.818 Ohm No Conversion Required
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 4 in Wheatstone Bridge: 33 Ohm --> 33 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rth = ((R1*R3)/(R1+R3))+((R2*R4)/(R2+R4)) --> ((76.818*65)/(76.818+65))+((39*33)/(39+33))
Evaluating ... ...
Rth = 53.0832951388399
STEP 3: Convert Result to Output's Unit
53.0832951388399 Ohm --> No Conversion Required
FINAL ANSWER
53.0832951388399 53.0833 Ohm <-- Thevenin Resistance in Wheatstone Bridge
(Calculation completed in 00.004 seconds)

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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

Thevenin Resistance of Wheatstone Bridge Formula

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))
Rth = ((R1*R3)/(R1+R3))+((R2*R4)/(R2+R4))

Why is a galvanometer used in a Wheatstone Bridge circuit?

A galvanometer is used in a Wheatstone Bridge circuit to measure the unknown resistance of a component by detecting the current flowing through it. The galvanometer's deflection is proportional to the current, allowing the resistance to be calculated using the principles of Ohms law.

How to Calculate Thevenin Resistance of Wheatstone Bridge?

Thevenin Resistance of Wheatstone Bridge calculator uses 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)) to calculate the Thevenin Resistance in Wheatstone Bridge, The Thevenin Resistance of Wheatstone Bridge represents the equivalent resistance seen at the output terminals of the bridge when all the independent voltage and current sources are replaced with their Thevenin equivalents. Thevenin Resistance in Wheatstone Bridge is denoted by Rth symbol.

How to calculate Thevenin Resistance of Wheatstone Bridge using this online calculator? To use this online calculator for Thevenin Resistance of Wheatstone Bridge, enter Resistance 1 in Wheatstone Bridge (R1), Resistance 3 in Wheatstone Bridge (R3), Resistance 2 in Wheatstone Bridge (R2) & Resistance 4 in Wheatstone Bridge (R4) and hit the calculate button. Here is how the Thevenin Resistance of Wheatstone Bridge calculation can be explained with given input values -> 53.0833 = ((76.818*65)/(76.818+65))+((39*33)/(39+33)).

FAQ

What is Thevenin Resistance of Wheatstone Bridge?
The Thevenin Resistance of Wheatstone Bridge represents the equivalent resistance seen at the output terminals of the bridge when all the independent voltage and current sources are replaced with their Thevenin equivalents and is represented as Rth = ((R1*R3)/(R1+R3))+((R2*R4)/(R2+R4)) or 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)). Resistance 1 in Wheatstone Bridge is the known resistance value against which an unknown resistance can be measured or compared, 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 4 in Wheatstone Bridge is the unknown resistance value which is determined by balancing the known bridge resistances.
How to calculate Thevenin Resistance of Wheatstone Bridge?
The Thevenin Resistance of Wheatstone Bridge represents the equivalent resistance seen at the output terminals of the bridge when all the independent voltage and current sources are replaced with their Thevenin equivalents is calculated using 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)). To calculate Thevenin Resistance of Wheatstone Bridge, you need Resistance 1 in Wheatstone Bridge (R1), Resistance 3 in Wheatstone Bridge (R3), Resistance 2 in Wheatstone Bridge (R2) & Resistance 4 in Wheatstone Bridge (R4). With our tool, you need to enter the respective value for Resistance 1 in Wheatstone Bridge, Resistance 3 in Wheatstone Bridge, Resistance 2 in Wheatstone Bridge & Resistance 4 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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