Question:

The diagrams show three circuits with identical batteries, identical inductors, and identical resistors. Rank them according to the current through the battery just after the switch is closed from least to greatest.

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Inductors oppose changes in current, so the placement of the inductor relative to the resistor (series or parallel) affects the initial current when the switch is closed.
Updated On: Apr 1, 2025
  • 3, 2, 1
  • 1, 3, 2
  • 1, 2, 3
  • 3, 1, 2
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The Correct Option is B

Solution and Explanation

In circuits with inductors, the current through the battery just after the switch is closed depends on the inductor's opposition to the change in current (due to its inductance).

- In circuit 1, the inductor is in series with the resistor, and the current is opposed by both the resistor and inductor.
- In circuit 3, the inductor is in parallel with the resistor, and the current through the battery will be larger compared to circuit 1 because the current bypasses the inductor through the parallel path.
- In circuit 2, the current through the inductor is opposed by the inductor's inductance, but the resistor provides a direct path for current flow.

Thus, the ranking of current through the battery from least to greatest is 1, 3, 2.
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