The figure shows three circuit with identical 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

Options

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

Answer

A

Explanation

Just before closing the switch.

`i_(1)=0,i_(2)=(E)/(R ),i_(3)=(E)/(2R)soI_(2)gti_(3)gti_(1)(i_(1)=0)`
After a long time closing the switch Hence`i_(2)gti_(3)gti_(1)`