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  4. In the circuit shown below, all the inductors (assumed ideal) and resistors are identical. The current through the resistance on the right is I after the key K has been switched ON for a long time. The currents through the three resistors (in order, from left to right) immediately after the key is switched OFF are <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/82489a6c37248547cd9fd053b6fce3fc-.jpeg />

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Q. In the circuit shown below, all the inductors (assumed ideal) and resistors are identical. The current through the resistance on the right is $I$ after the key $K$ has been switched $ON$ for a long time. The currents through the three resistors (in order, from left to right) immediately after the key is switched $OFF$ are
image

KVPYKVPY 2015

Solution:

In steady state, after the key remains $ON$ for a long time.
image
As resistances are identical and parallel (inductors behaves like closed paths), currents in resistors are equal as shown above. When switch is turned $OFF$, current in inductors remains same. So, we have following current distribution in circuit.
image
So, currents in resistances are $2I$ upwards, $I$ downwards and $I$ downwards