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In a Wheatstone bridge, if the known resistances are 5Ω and 10Ω, what is the unk

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Question: In a Wheatstone bridge, if the known resistances are 5Ω and 10Ω, what is the unknown resistance if the bridge is balanced with a 15Ω resistor?

Options:

  1. 7.5Ω
  2. 10Ω
  3. 12.5Ω
  4. 15Ω

Correct Answer: 12.5Ω

Solution: 

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (10 * 15) / 5 = 30Ω.

In a Wheatstone bridge, if the known resistances are 5Ω and 10Ω, what is the unk

Practice Questions

Q1
In a Wheatstone bridge, if the known resistances are 5Ω and 10Ω, what is the unknown resistance if the bridge is balanced with a 15Ω resistor?
  1. 7.5Ω
  2. 10Ω
  3. 12.5Ω
  4. 15Ω

Questions & Step-by-Step Solutions

In a Wheatstone bridge, if the known resistances are 5Ω and 10Ω, what is the unknown resistance if the bridge is balanced with a 15Ω resistor?
  • Step 1: Identify the known resistances in the Wheatstone bridge. Here, R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω.
  • Step 2: Use the balance condition formula for a Wheatstone bridge, which is R1/R2 = R3/R4.
  • Step 3: Rearrange the formula to solve for the unknown resistance R4: R4 = (R2 * R3) / R1.
  • Step 4: Substitute the known values into the formula: R4 = (10 * 15) / 5.
  • Step 5: Calculate the value: R4 = 150 / 5 = 30Ω.
  • Step 6: Conclude that the unknown resistance R4 is 30Ω.
  • 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, where the ratio of resistances in one leg equals the ratio in the other leg.
  • Ohm's Law – The relationship between voltage, current, and resistance, which underlies the operation of the Wheatstone bridge.
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