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Find the current through the battery (...

Find the current through the battery
(i) just after the switch is closed.
(ii) long after the switch has been closed.

Text Solution

Verified by Experts

(i) Just after closing the switch, inductor offers infinite resistance. So, the circuit will become as

So, the current will be `I=(V)/(r)=(12)/(4)=3A`
(ii) After long time, inductor offers zero resistance. So, the equivalent circuit will be

Net resistance, `R_(eq)=(4xx4xx4)/(4+4+4)=(64)/(12)=5.33`
`therefore"Current",I=(V)/(R)=(12)/(5.33)or(12xx12)/(64)=(144)/(64)=2.25A`
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Knowledge Check

  • The figure shows theree cirrcuit with idential batteries, inductors, and resistors. Rank the circuit according to the current through the battery (i) just after the switch is closed and (ii) a long time later, greatest first

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    B
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    C
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    D
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  • Current through the battery at the instance when the switch S is closed is

    A
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