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Topic: Self and mutual inductance· Electromagnetic Induction and Alternating Currents

Figure shows a circuit that contains three identical resistors with resistance R = 9.0 Ω each, two identical inductors with inductance L = 2.0 mH each, and an ideal battery with emf ε = 18 V. The current 'i' through the battery just after the switch…

Figure shows a circuit that contains three identical resistors with resistance R = 9.0 \(\Omega\) each, two identical inductors with inductance L = 2.0 mH each, and an ideal battery with emf \(\varepsilon\) = 18 V. The current 'i' through the battery just after the switch closed is,.....

circuit with battery, switch, inductors L, resistors R and a capacitor C

1. 0.2 A

2. 2 A

3. 0 ampere

4. 2 mA

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Best answer

Answer: Dropped in the official answer key: full marks to every candidate

Key idea: just after the switch closes, an inductor acts as an open circuit and an uncharged capacitor acts as a short circuit.

  • Left branch (L and R): no current, since L blocks it.
  • Middle branch: only R, current \(=\dfrac{18}{9}=2\) A.
  • Right branch: R in series with (L parallel C). L blocks, but the uncharged C passes current freely, so current \(=\dfrac{18}{9}=2\) A.

Total \(=4\) A, which is not among the options (the question text also omits the capacitor). The official key marks this as a bonus question.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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