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# ps1_08 - EE 350 PROBLEM SET 1 DUE 2 September 2008 Reading...

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EE 350 PROBLEM SET 1 DUE: 2 September 2008 Reading assignment: Lathi Chapter 1 and Background, Sections B.2 and B.3, and the MATLAB primer (available on the EE 350 web page). Recitation sections will meet the week of August 25. Problems 1 through 3 are a review of material covered in EE 210 and require you to obtain an ordinary diﬀerential equation and initial conditions for a simple circuit. Problem 1: (16 points) Consider the RL circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is opened. t = 0 + - + - v(t) 3 H 5 Ω i(t) 10 Ω 10 Ω 40 V Figure 1: The switch in the RL circuit is opened at time t =0 . 1. (4 points) Find the voltage v (0 - ) and the current i (0 - ) just before the switch is opened. 2. (4 points) Find the voltage v (0 + ) and the current i (0 + ) immediately after the switch is opened. 3. (2 points) Find the voltage v ( ) and the current i ( ) after the switch has been opened for a very long time. 4. (6 points) Find a diﬀerential equation that describes the response of the voltage v ( t ) for t 0. Problem 2: (16 points) In the circuit shown in Figure 2, the switch was opened for a long time and then it was closed at t . 30 μ F 10 Ω k 5 Ω k + - i(t) v(t) + - t = 0 12 V Figure 2: The switch in the RC circuit is closed at time t . 1. (4 points) Find the voltage v (0 - ) and the current i (0 - ) just before the switch is closed.

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ps1_08 - EE 350 PROBLEM SET 1 DUE 2 September 2008 Reading...

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