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JEE Main 2019 (8 Apr, Shift 2) · Combination of Resistors

Combination of Resistors question from JEE Main 2019 (8 Apr, Shift 2)

Q65JEE Main 2019 · 8 APR · SHIFT 2Medium

Combination of Resistors

In the figure shown, what is the current (in Ampere) drawn from the battery?

You are given: R1 = 15Ω\Omega, R2 = 10 Ω\Omega, R3 = 20 Ω\Omega, R4 = 5Ω\Omega, R5 = 25Ω\Omega, R6 = 30 Ω\Omega, E = 15 V

Figure

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Answer: (c)

  1. R3R_3, R4R_4, R5R_5 are in series: 20+5+25=50 Ω20 + 5 + 25 = 50\ \Omega, which is in parallel with R2R_2: 50×1060=253 Ω\dfrac{50 \times 10}{60} = \dfrac{25}{3}\ \Omega.
  2. Req=R1+253+R6=15+253+30=1603 ΩR_{eq} = R_1 + \dfrac{25}{3} + R_6 = 15 + \dfrac{25}{3} + 30 = \dfrac{160}{3}\ \Omega
  3. I=15160/3=932I = \dfrac{15}{160/3} = \dfrac{9}{32} A. So the answer is (c).
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