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Q.

An e.m.f. of 15 v is applied in a circuit containing 5 H inductance and 10 Ω resistance. The ratio of the currents at time t=∞ and at t = 1 s is

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a

e1/2e1/2-1

b

e2e2-1

c

1-e-1

d

e-1

answer is B.

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Detailed Solution

i=i01-e-Rt/Li0=ER (Steady current) when t=∞i∞=ER1-e-∞=510=1.5i1=1.51-e-R/L=1.51-e-2⇒i∞i1=11-e-2=e2e2-1
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An e.m.f. of 15 v is applied in a circuit containing 5 H inductance and 10 Ω resistance. The ratio of the currents at time t=∞ and at t = 1 s is