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JEE Main 2022 (28 Jun, Shift 1) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from JEE Main 2022 (28 Jun, Shift 1)

Q49JEE Main 2022 · 28 JUN · SHIFT 1Medium

Wheatstone Bridge & Metre Bridge

Current measured by the ammeter (A) in the reported circuit when no current flows through 10 Ω\Omega resistance, will be ________________ A.

Figure

Numerical answer type. Work it out, then open the answer.

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Answer: 10

  1. No current in 10 Ω10\ \Omega: R4=36⇒R=2 Ω\dfrac{R}{4} = \dfrac{3}{6} \Rightarrow R = 2\ \Omega
  2. Top path 2+4=6 Ω2 + 4 = 6\ \Omega, bottom path 3+6=9 Ω3 + 6 = 9\ \Omega
  3. Req=6×915=3.6 ΩR_{eq} = \dfrac{6 \times 9}{15} = 3.6\ \Omega
  4. I=363.6=10I = \dfrac{36}{3.6} = 10 A
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