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In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for t

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Question: In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?

Options:

  1. 30Ω
  2. 20Ω
  3. 15Ω
  4. 10Ω

Correct Answer: 20Ω

Solution: 

For balance, R1/R2 = R3/R4. Thus, 10/20 = 15/R4, giving R4 = 30Ω.

In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for t

Practice Questions

Q1
In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?
  1. 30Ω
  2. 20Ω
  3. 15Ω
  4. 10Ω

Questions & Step-by-Step Solutions

In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?
Correct Answer: 30Ω
  • Step 1: Write down the formula for a balanced Wheatstone bridge: R1/R2 = R3/R4.
  • Step 2: Substitute the known values into the formula: 10/20 = 15/R4.
  • Step 3: Simplify the left side of the equation: 10/20 equals 0.5.
  • Step 4: Now the equation looks like this: 0.5 = 15/R4.
  • Step 5: To find R4, cross-multiply: 0.5 * R4 = 15.
  • Step 6: Divide both sides by 0.5 to isolate R4: R4 = 15 / 0.5.
  • Step 7: Calculate R4: R4 = 30Ω.
  • Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
  • Ratio of Resistances – The principle that for a Wheatstone bridge to be balanced, the ratio of the resistances in one leg must equal the ratio in the other leg.
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