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← JEE Main 2022 · 28 Jun · Shift 1
PhysicsInteger+4 / -1Question 53 of 90

JEE Main 2022 · 28 Jun · Shift 1, Physics question 53

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

Wheatstone bridge: R (top left) and 4 Ω (top right) above, 3 Ω (bottom left) and 6 Ω (bottom right) below, with 10 Ω across the middle; a 36 V cell and an ammeter feed the bridge from left to right.
Answer and worked solution

Official answer: 10

Balanced bridge. No current in 10 Ω needs R4=36\frac R4=\frac36, so R=2R=2 Ω.

Resistance. Branches of 2+4=62+4=6 Ω and 3+6=93+6=9 Ω in parallel: 3.63.6 Ω.

Current. 363.6=10\dfrac{36}{3.6}=10 A.

Answer: 10