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In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R

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Question: In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for the bridge to be balanced?

Options:

  1. 4Ω
  2. 9Ω
  3. 12Ω
  4. 8Ω

Correct Answer: 12Ω

Solution: 

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (3 * 6) / 2 = 9Ω.

In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R

Practice Questions

Q1
In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for the bridge to be balanced?
  1. 4Ω
  2. 9Ω
  3. 12Ω
  4. 8Ω

Questions & Step-by-Step Solutions

In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for the bridge to be balanced?
  • Step 1: Write down the given values: R1 = 2Ω, R2 = 3Ω, R3 = 6Ω.
  • Step 2: Recall the balance condition for a Wheatstone bridge: R1/R2 = R3/R4.
  • Step 3: Rearrange the balance condition to solve for R4: R4 = (R2 * R3) / R1.
  • Step 4: Substitute the values into the equation: R4 = (3 * 6) / 2.
  • Step 5: Calculate the multiplication: 3 * 6 = 18.
  • Step 6: Divide the result by R1: 18 / 2 = 9.
  • Step 7: Conclude that R4 = 9Ω for the bridge to be balanced.
  • Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
  • Balance Condition – The condition for a Wheatstone bridge to be balanced, which states that the ratio of the resistances in one leg must equal the ratio in the other leg.
  • Ohm's Law – The fundamental relationship between voltage, current, and resistance in electrical circuits.
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