ECE2101_HW1_SpS19.pdf - Spring Semester 2019 ECE 2101 — Electrical Circuit Analysis II A Gonzalez California State Polytechnic University Pomona

ECE2101_HW1_SpS19.pdf - Spring Semester 2019 ECE 2101 —...

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Spring Semester 2019 ECE 2101 — Electrical Circuit Analysis II A. Gonzalez California State Polytechnic University, Pomona Department of Electrical and Computer Engineering Homework 1 Due : Saturday, February 9, 2019 by 11:59 PM. 1. ( Kang , Source-Free Series RLC) The switch in the circuit shown in Figure 1 has been closed for a long time before it is opened at t = 0. (a) Find i ( t ) for t > 0 as done in lecture. Hint: Apply KVL around the loop at t = 0 to find di (0) dt . (b) Find v ( t ) for t > 0 directly. Hint: i C ( t ) = - i ( t ), and i C ( t ) = C dv ( t ) dt . At t = 0, dv (0) dt = - i (0) C . (c) Find v L ( t ) for t > 0 by using the v - i relationship of the inductor: v L ( t ) = L di ( t ) dt . 1 H + - v L ( t ) 0 . 5 Ω 2 Ω 0 . 25 F + - v ( t ) t = 0 1 Ω 3 A i ( t ) Figure 1 2. ( Kang , Source-Free Series RLC) The switch in the circuit shown in Figure 2 has been closed for a long time before it is opened at t = 0. (a) Find i C ( t ) for t > 0. Hint: Find i ( t ) first, then use i C ( t ) = - i ( t ) for t > 0. (b) Find v ( t ) for t > 0 by using the v - i relationship of the capacitor: v ( t ) = 1 C R t 0 i C ( t ) dt + v (0).

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• Summer '19
• Electrical Engineering, Inductor, RC circuit, Electrical impedance, Electrical Circuit Analysis II, 1.25t

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