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An e.m.f. of `15` volt is applied in a circuit containing `5` henry inductance and `10` ohm resistance. The ratio of the current at time `t=oo` and at `t=1` second isA. `(E^(1//2))`B. `(e^(2))/(e^(2)-1)`C. `(1-e^(-1))`D. `e^(-1)` |
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Answer» Correct Answer - B `i=i_(0)(1-e^(-Rt//L))` `i_(0)=(E)/(R )` (steady current) when `t=oo` `i_(oo)=(E)/(R )(1-e^(-oo))=(5)/(10)=1.5` `i_(1)=1.5(1-e^(-R//L))=1.5(1-e^(2))` `implies(i_(oo))/(i_(1))(1)/(1-e^(-2))=(e^(2))/(e^(2)-1)` |
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