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If the resistance R4 in a Wheatstone bridge is decreased, what effect does it ha

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Question: If the resistance R4 in a Wheatstone bridge is decreased, what effect does it have on the balance condition?

Options:

  1. The bridge becomes balanced
  2. The bridge becomes unbalanced
  3. The current through the galvanometer decreases
  4. The voltage across R1 increases

Correct Answer: The bridge becomes unbalanced

Solution:

Decreasing R4 will disturb the balance condition, making the bridge unbalanced.

If the resistance R4 in a Wheatstone bridge is decreased, what effect does it ha

Practice Questions

Q1
If the resistance R4 in a Wheatstone bridge is decreased, what effect does it have on the balance condition?
  1. The bridge becomes balanced
  2. The bridge becomes unbalanced
  3. The current through the galvanometer decreases
  4. The voltage across R1 increases

Questions & Step-by-Step Solutions

If the resistance R4 in a Wheatstone bridge is decreased, what effect does it have on the balance condition?
Correct Answer: The bridge becomes 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 components of the Wheatstone bridge. It has four resistors: R1, R2, R3, and R4, and a power source.
  • Step 3: Know the balance condition. The bridge is balanced when the ratio of R1 to R2 is equal to the ratio of R3 to R4 (R1/R2 = R3/R4).
  • Step 4: Recognize what happens when R4 is decreased. If R4 becomes smaller, the ratio R3/R4 increases because R3 stays the same.
  • Step 5: Compare the ratios. Since R1/R2 remains the same, but R3/R4 increases, the two ratios are no longer equal.
  • Step 6: Conclude that the bridge is unbalanced. Decreasing R4 disturbs the balance condition of the Wheatstone bridge.
  • Wheatstone Bridge Balance Condition – The balance condition of a Wheatstone bridge occurs when the ratio of resistances in one leg equals the ratio in the other leg, allowing no current to flow through the galvanometer.
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