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MHT CET 2021 (24 Sep, Shift 2) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from MHT CET 2021 (24 Sep, Shift 2)

Q54MHT CET 2021 · 24 SEP · SHIFT 2Medium

Wheatstone Bridge & Metre Bridge

The current drawn from the battery in the given network is (Internal resistance of the battery is negligible)

Figure

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Answer: (a)

  1. Redraw: two 3 Ω3\ \Omega from the left terminal to nodes X and Y; two 2 Ω2\ \Omega from X and Y to the right terminal; 5 Ω5\ \Omega joins X and Y.
  2. 32=32\dfrac{3}{2} = \dfrac{3}{2}, so the bridge is balanced and 5 Ω5\ \Omega carries no current.
  3. Req=(3+2)∥(3+2)=2.5 ΩR_{eq} = (3+2) \parallel (3+2) = 2.5\ \Omega
  4. I=62.5=2.4I = \dfrac{6}{2.5} = 2.4 A
  5. So the answer is (a) 2.42.4 A.
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