If the resistances in a Wheatstone bridge are P = 3Ω, Q = 6Ω, R = 1.5Ω, and S =

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Question: If the resistances in a Wheatstone bridge are P = 3Ω, Q = 6Ω, R = 1.5Ω, and S = 3Ω, is the bridge balanced?

Options:

Correct Answer: No

Solution:

The bridge is not balanced because P/Q ≠ R/S.

If the resistances in a Wheatstone bridge are P = 3Ω, Q = 6Ω, R = 1.5Ω, and S = 3Ω, is the bridge balanced?

If the resistances in a Wheatstone bridge are P = 3Ω, Q = 6Ω, R = 1.5Ω, and S = 3Ω, is the bridge balanced?

Step 1: Identify the resistances in the Wheatstone bridge. We have P = 3Ω, Q = 6Ω, R = 1.5Ω, and S = 3Ω.
Step 2: Calculate the ratio of P to Q. This is done by dividing P by Q: P/Q = 3Ω / 6Ω.
Step 3: Calculate the ratio of R to S. This is done by dividing R by S: R/S = 1.5Ω / 3Ω.
Step 4: Simplify the ratios. P/Q = 0.5 and R/S = 0.5.
Step 5: Compare the two ratios. Check if P/Q is equal to R/S.
Step 6: Since P/Q (0.5) is equal to R/S (0.5), the bridge is balanced.

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 is that the ratio of the resistances in one leg equals the ratio in the other leg (P/Q = R/S).