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In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the

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Question: In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm 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 2:3 and 4:5 are not equal.

In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the

Practice Questions

Q1
In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm 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 in one arm is 2:3 and in the other arm is 4:5, what can be said about the bridge?
Correct Answer: Bridge is unbalanced
  • Step 1: Understand what a Wheatstone bridge is. It is a circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
  • Step 2: Identify the two arms of the Wheatstone bridge. Each arm has a pair of resistors.
  • Step 3: Look at the first arm's resistance ratio, which is given as 2:3. This means if one resistor is 2 ohms, the other is 3 ohms.
  • Step 4: Look at the second arm's resistance ratio, which is given as 4:5. This means if one resistor is 4 ohms, the other is 5 ohms.
  • Step 5: Compare the two ratios. The first ratio (2:3) is not equal to the second ratio (4:5).
  • Step 6: Conclude that since the ratios are not equal, 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 arms of the bridge, which determines if the bridge is balanced or unbalanced.
  • Balanced vs Unbalanced Bridge – A balanced bridge has equal ratios of resistances in both arms, while an unbalanced bridge does not.
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