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MHT CET 2025 (25 Apr, Shift 1) · Combination of Resistors

Combination of Resistors question from MHT CET 2025 (25 Apr, Shift 1)

Q14MHT CET 2025 · 25 APR · SHIFT 1Medium

Combination of Resistors

The current (I) drawn from the battery in the given circuit is

Figure

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Answer: (b)

  1. Bridge A–B–C–D: RABRBD=510\dfrac{R_{AB}}{R_{BD}} = \dfrac{5}{10} and RACRCD=1020\dfrac{R_{AC}}{R_{CD}} = \dfrac{10}{20}, equal, so the bridge is balanced and the 10 Ω10\ \Omega between B and C carries no current.
  2. Arm ABD: 5+10=15 Ω5 + 10 = 15\ \Omega; arm ACD: 10+20=30 Ω10 + 20 = 30\ \Omega.
  3. Req=15×3045=10 ΩR_{eq} = \dfrac{15 \times 30}{45} = 10\ \Omega
  4. I=510=0.5I = \dfrac{5}{10} = 0.5 A. So the answer is (b) 0.5 A.
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