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Consider the circuit shown in the figure...

Consider the circuit shown in the figure. If `E=20V` , `R_(1)=4Omega` , `R_(2)=12Omega` and `L=5H` . Find current `i` , `i_(1)` , `i_(2)` , P.d. across `R_(2)` and `L`
(a) just after closing the switch `(t=0)`
(b) after a long time `(t=oo)`

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(a) At `t=0` , inductor offers infinite resistance
`i=i_(1)(20)/(4)=5A`
`i_(2)=0`
`V_(R_2)=0`
`V_(L)=E=20V`
(b) At `t=oo` , inductor offers zero resistance
`i_(0)=(20)/(4)=5A`
`i_(2)=(20)/(12)=(5)/(3)A`
`i=i_(1)+i_(2)=5+(5)/(3)=(20)/(3)A`
`V_(R_2)=20V` , `V_(L)=0`

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