Find the angle by which i1 lags v1 if v1 = 120 cos(120t 40) V and i1 equals (a) 2.5

Chapter 10, Problem 10.1

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QUESTION:

Find the angle by which \(i_1\) lags \(v_1\) if \(v_1 = 120\ cos (120 \pi t - 40^{\circ})\ V\) and \(i_1\) equals (a) \(2.5\ cos (120 \pi t + 20^{\circ})\ A\); (b) \(1.4\sin\left(120\pi t-70^{\circ}\right)\ \mathrm{A}\); (c) \(-0.8\cos\left(120\pi t-110^{\circ}\right)\ \mathrm{A}\).

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QUESTION:

Find the angle by which \(i_1\) lags \(v_1\) if \(v_1 = 120\ cos (120 \pi t - 40^{\circ})\ V\) and \(i_1\) equals (a) \(2.5\ cos (120 \pi t + 20^{\circ})\ A\); (b) \(1.4\sin\left(120\pi t-70^{\circ}\right)\ \mathrm{A}\); (c) \(-0.8\cos\left(120\pi t-110^{\circ}\right)\ \mathrm{A}\).

ANSWER:

Step 1 of 4

a)

Given,

Voltage,

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