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Four conductors of resistance 4,3,9 and 6 ohm are connected in \( A B, B C, C D \) and DA arms of a Wheatstone bridge. The bridge can be balanced by connecting.

1. \( 1) 6 \) ohm in series with 3 ohm conductor
2. 2) 4 ohm in parallel with 6 ohm conductor
3. 3 ) 3 ohm in series with 3 ohm conductor
4. 4 ) 5 ohm in series with 6 ohm conductor

Correct answer: 2) 4 ohm in parallel with 6 ohm conductor

Solution

A Wheatstone bridge balances when the ratio of one pair of adjacent arms equals the ratio of the other pair. The option that changes the 4 Ω and 6 Ω arms into an equivalent resistance giving the needed ratio is the one with 4 Ω in parallel with 6 Ω.

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