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Find the values of i(1) and i(2) (i) i...

Find the values of `i_(1)` and `i_(2)`
(i) immediately after the switch `S` is closed.
(ii) long time later, with `S` closed.
(iii) immediately after `S` is open.
(iv) long time after `S` is opned.

Text Solution

Verified by Experts

The correct Answer is:
`(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.
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