A balanced bridge is shown in the circuit diagram. The metre bridge wire has resistance 1 Ω cm⁻¹. The current drawn from the battery is (Internal resistance of battery is negligible) (a) 0.44 A (b) 0.66 A (c) 0.88 A (d) 0.22 A

Answer: (b). Balance: 4/Y = 40/60 ⇒ Y = 6 Ω; gap branch 4 + 6 = 10 Ω Wire: 100 × 1 = 100 Ω Req = (10 × 100)/(110) = 9.09 Ω I = 6/9.09 = 0.66 A So the answer is (b) 0.66 A.

A balanced bridge is shown in the circuit diagram. The metre bridge… | MHT CET 2021 (23 Sep, Shift 1)

Q56MHT CET 2021 · 23 SEP · SHIFT 1Medium

Wheatstone Bridge & Metre Bridge

A balanced bridge is shown in the circuit diagram. The metre bridge wire has resistance $1\ \Omega\,\text{cm}^{-1}$ . The current drawn from the battery is (Internal resistance of battery is negligible)

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Answer: (b)

Balance: $\dfrac{4}{Y} = \dfrac{40}{60} \Rightarrow Y = 6\ \Omega$ ; gap branch $4 + 6 = 10\ \Omega$
Wire: $100 \times 1 = 100\ \Omega$
$R_{eq} = \dfrac{10 \times 100}{110} = 9.09\ \Omega$
$I = \dfrac{6}{9.09} = 0.66$ A
So the answer is (b) $0.66$ A.

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Wheatstone Bridge & Metre Bridge question from MHT CET 2021 (23 Sep, Shift 1)

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