1.

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.

Answer»

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



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