A 1.0 H choke has a resistance of 50 Ω . This choke is supplied with an a.c. voltage given by e = 141 sin 314 t. Find the expression for the transient component of the current flowing through the choke after the voltage is suddenly switched on.
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The equation of the transient component of the current is
it = Imsinφe-t/λ
Here, λ = L/R = 1/50 = 0.02 second ; Z = 50 + j 314 = 318 ∠ 80.95º
Im = Vm/Z = 141/318 = 0.443 A; sin 80.95º = 0.9875
∴ it = 0.443 × 0.9875 e–t/0.02 = 0.4376e–t/0.02