Correct Answer - `(i) i_(1)=i_(2)=10//3 A, (ii) i_(1)=50//11 A; i_(2)=30//11A, (iii) i_(1)=0, i_(2)=20//11 A, (iv) i_(1)=i_(2)=0`
Inductor acts a open circuit `at =0` and acts a short circuit long after.
(i) immediately after awitch `S` is closed
`i_(2)=i_(2)=100/30 Amp`.
(ii) long after
`i_(1)=100/(10+20||30)=100/22=50/11 Amp`
`i_(2)=30/50xx50/11=30/11 Amp`
(iii) Immediately after switch is opened `i_(1)=0`
Since current through inductor can not change instantaneously.