In the part of an a.c. circuit as shown, the resistance R = 0.2 Ω. At a certain instant (VA - VB) = 0.5 V, I = 0.5 A and (Δ I)/(Δ t) = 8 A/s. The inductance of the coil is (a) 0.04 H (b) 0.02 H (c) 0.08 H (d) 0.05 H

Answer: (d). Across the series L-R part: VA - VB = IR + L(Δ I)/(Δ t) 0.5 = (0.5)(0.2) + L(8) ⇒ 8L = 0.4 L = 0.05 H So the answer is (d) 0.05 H.

In the part of an a.c. circuit as shown, the resistance R = 0.2 Ω. At… | MHT CET 2021 (24 Sep, Shift 1)

Q11MHT CET 2021 · 24 SEP · SHIFT 1Medium

Inductors & DC Transients (Mixed)

In the part of an a.c. circuit as shown, the resistance $R = 0.2\,\Omega$ . At a certain instant $(V_A - V_B) = 0.5\text{ V},\ I = 0.5\text{ A}$ and $\frac{\Delta I}{\Delta t} = 8\text{ A/s}$ . The inductance of the coil is

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Answer: (d)

Across the series L-R part: $V_A - V_B = IR + L\frac{\Delta I}{\Delta t}$
$0.5 = (0.5)(0.2) + L(8) \Rightarrow 8L = 0.4$
$L = 0.05\text{ H}$
So the answer is (d) 0.05 H.

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