The figure shows three circuits with identical batteries, inductors and resistance . Rank the circuits in decreasing order, according to the current through the battery just after the switch is closed

Options

A. `(i)" "i_(2)gti_(3)gti_(1)" "(i_(1)=0)" "(ii)" "i_(2)gti_(3)gti_(1)`
B. `(i)" "i_(2)lti_(3)lti_(1)" "(i_(1)ne0)" "(ii)" "i_(2)gti_(3)gti_(1)`
C. `(i)" "i_(2)=i_(3)=i_(1)" "(i_(1)=0)" "(ii)" "i_(2)lti_(3)lti_(1)`
D. `(i)" "i_(2)=i_(3)gti_(1)" "(i_(1)ne0)" "(ii)" "i_(2)gti_(3)gti_(1)`

Answer

A

Explanation

Just after switch is closed inductor is open circuit -

`rArrI_(2)gtI_(3)gtI_(1)" "(I_(1)=0)`
A long time after closing the switch
[inductor is short circuit]

`rArrI_(2)gtI_(3)gtI_(1)`.