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Homework # 1 AC Circuit Analysis Due Aug. 24 @ 10:00 AM Your homework solution must be unique. Only individual work will be credited. Problem 1. In the circuit shown in Fig. 1, v(t) = 50 cos(100t). Compute i(t) by (a) using the steady-state solution of the resulting differential equation(s), (b) reducing impedances in the frequency domain. +−v(t) 10Ω i 50 mH + − vL 100 mH 100 µF ic Figure 1: Circuit of problem 1 Problem 2. Consider the circuit of Fig. 2. Find the value of element that has to be connected if the absolute value of the phase shift between v0(t) and vi(t) is required to be 80 ◦. +−vi(t) ? 10Ω ? 20Ω + − v0(t) Figure 2: Voltage divider 1
