Value of Thevenin Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance (Thevenin) Op = ((Resistance 1*Resistance 3)/(Resistance 1+Resistance 3))+((Resistance 2*Unknown Resistance b)/(Resistance 2+Unknown Resistance b))
Rth_op = ((R1b*R3)/(R1b+R3))+((R2b*Rxb)/(R2b+Rxb))
This formula uses 5 Variables
Variables Used
Resistance (Thevenin) Op - (Measured in Ohm) - Resistance (Thevenin) Op is the total Thevenin resistance for an unbalanced Wheatstone bridge.
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).
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 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).
Unknown Resistance b - (Measured in Ohm) - Unknown Resistance b is the value of resistance connected in arm BC (ABCD is labelled clockwise, with A being labelled at the top).
STEP 1: Convert Input(s) to Base Unit
Resistance 1: 10 Ohm --> 10 Ohm No Conversion Required
Resistance 3: 32 Ohm --> 32 Ohm No Conversion Required
Resistance 2: 20 Ohm --> 20 Ohm No Conversion Required
Unknown Resistance b: 50 Ohm --> 50 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rth_op = ((R1b*R3)/(R1b+R3))+((R2b*Rxb)/(R2b+Rxb)) --> ((10*32)/(10+32))+((20*50)/(20+50))
Evaluating ... ...
Rth_op = 21.9047619047619
STEP 3: Convert Result to Output's Unit
21.9047619047619 Ohm --> No Conversion Required
FINAL ANSWER
21.9047619047619 Ohm <-- Resistance (Thevenin) Op
(Calculation completed in 00.032 seconds)

Credits

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

Value of Thevenin Resistance
Resistance (Thevenin) Op = ((Resistance 1*Resistance 3)/(Resistance 1+Resistance 3))+((Resistance 2*Unknown Resistance b)/(Resistance 2+Unknown Resistance b)) Go
Value of Total Current
Current (total) Op = (Voltage (Thevenin))/(Resistance (Thevenin)+Galvanometer Resistance) Go
Value of Unknown Resistance in Wheatstone Bridge
Unknown Resistance b op 3 = (Resistance 2*Resistance 3)/Resistance 1 Go

Value of Thevenin Resistance Formula

Resistance (Thevenin) Op = ((Resistance 1*Resistance 3)/(Resistance 1+Resistance 3))+((Resistance 2*Unknown Resistance b)/(Resistance 2+Unknown Resistance b))
Rth_op = ((R1b*R3)/(R1b+R3))+((R2b*Rxb)/(R2b+Rxb))

When is the bridge said to be balanced?

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

How to Calculate Value of Thevenin Resistance?

Value of Thevenin Resistance calculator uses Resistance (Thevenin) Op = ((Resistance 1*Resistance 3)/(Resistance 1+Resistance 3))+((Resistance 2*Unknown Resistance b)/(Resistance 2+Unknown Resistance b)) to calculate the Resistance (Thevenin) Op, The Value of Thevenin Resistance formula is used to calculate the total resistance effective in an unbalanced Wheatstone bridge in which Rg is not zero. Resistance (Thevenin) Op is denoted by Rth_op symbol.

How to calculate Value of Thevenin Resistance using this online calculator? To use this online calculator for Value of Thevenin Resistance, enter Resistance 1 (R1b), Resistance 3 (R3), Resistance 2 (R2b) & Unknown Resistance b (Rxb) and hit the calculate button. Here is how the Value of Thevenin Resistance calculation can be explained with given input values -> 21.90476 = ((10*32)/(10+32))+((20*50)/(20+50)).

FAQ

What is Value of Thevenin Resistance?
The Value of Thevenin Resistance formula is used to calculate the total resistance effective in an unbalanced Wheatstone bridge in which Rg is not zero and is represented as Rth_op = ((R1b*R3)/(R1b+R3))+((R2b*Rxb)/(R2b+Rxb)) or Resistance (Thevenin) Op = ((Resistance 1*Resistance 3)/(Resistance 1+Resistance 3))+((Resistance 2*Unknown Resistance b)/(Resistance 2+Unknown Resistance b)). Resistance 1 is the value of resistance connected in arm AD (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 2 is the value of resistance connected in arm AB (ABCD is labelled clockwise, with A being labelled at the top) & Unknown Resistance b is the value of resistance connected in arm BC (ABCD is labelled clockwise, with A being labelled at the top).
How to calculate Value of Thevenin Resistance?
The Value of Thevenin Resistance formula is used to calculate the total resistance effective in an unbalanced Wheatstone bridge in which Rg is not zero is calculated using Resistance (Thevenin) Op = ((Resistance 1*Resistance 3)/(Resistance 1+Resistance 3))+((Resistance 2*Unknown Resistance b)/(Resistance 2+Unknown Resistance b)). To calculate Value of Thevenin Resistance, you need Resistance 1 (R1b), Resistance 3 (R3), Resistance 2 (R2b) & Unknown Resistance b (Rxb). With our tool, you need to enter the respective value for Resistance 1, Resistance 3, Resistance 2 & Unknown Resistance b 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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