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In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio

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Question: In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio of resistances R and S is 4:5, what can be said about the bridge?

Options:

  1. Balanced
  2. Unbalanced
  3. Cannot be determined
  4. Short-circuited

Correct Answer: Unbalanced

Solution: 

The bridge is unbalanced because the ratios of the resistances do not match.

In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio

Practice Questions

Q1
In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio of resistances R and S is 4:5, what can be said about the bridge?
  1. Balanced
  2. Unbalanced
  3. Cannot be determined
  4. Short-circuited

Questions & Step-by-Step Solutions

In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio of resistances R and S is 4:5, what can be said about the bridge?
  • Step 1: Understand that a Wheatstone bridge is used to measure unknown resistances by balancing two legs of a circuit.
  • Step 2: Identify the given ratios of resistances: P to Q is 2:3 and R to S is 4:5.
  • Step 3: Write the ratios in fraction form: P/Q = 2/3 and R/S = 4/5.
  • Step 4: Check if the two ratios are equal by cross-multiplying: 2/3 and 4/5 means we check if 2 * 5 equals 3 * 4.
  • Step 5: Calculate: 2 * 5 = 10 and 3 * 4 = 12. Since 10 is not equal to 12, the ratios do not match.
  • Step 6: Conclude that since the ratios of the resistances do not match, the Wheatstone bridge is unbalanced.
  • Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
  • Resistance Ratios – The relationship between the resistances in the Wheatstone bridge, which determines if the bridge is balanced or unbalanced.
  • Balanced vs Unbalanced Bridge – A balanced bridge occurs when the ratio of resistances in one leg equals the ratio in the other leg, resulting in no current flow through the galvanometer.
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