EK307HW7Fall2009

# EK307HW7Fall2009 - i C1 versus time (flowing to the right...

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Electric Circuit Theory – HW #7 – Fall 2009 Problem 1) Find v OUT for the circuit shown if v IN = 5 u ( t ) V. Let R 1 = 5.6 k and C 1 = 22 µ F. Show both an equation and a graphical plot. 83 Problem 2) In the circuit of Problem1, suppose that a load resistor R 2 = 10 k is connected across C 1. For the case v IN = 1 u ( t ) V, R 1 = 47 k , and C 1 = 0.33 µ F, plot v OUT (t) and i 1 (t). 84 Problem 3) Consider the circuit shown. Let R 1 = 2 k , R 2 = 5 k , and C 1 = 0.1 µ F. Plot v OUT and i 2 versus time if v IN is a 12-V step. 88 Problem 4) Consider the circuit shown. Derive an expression (formula) for v OUT versus time if v IN is a step function of value V o . 90 . Problem 5) For the circuit of Problem 4, plot the current
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Unformatted text preview: i C1 versus time (flowing to the right through C 1 ) if R 1 = 10 k Ω , R 2 = 22 k Ω , C 1 = 0.01 µ F, and v IN is a 5-V step function. Problem 6) The circuit shown below is a discrete-element version of “Maxwell’s Capacitor.” a) Develop a differential equation for v 2 , then solve it subject to the initial conditions v 1 = v 2 = 0 for t < 0. b) Under what conditions will v 2 be a perfect step function with no exponential rise or decay? c) For the conditions of (b), what will be the voltage magnitude of v 2 ? v OUT v IN R 1 C 1 v OUT v IN R 1 C 1 R 2 i 2 v OUT v IN R 1 C 1 R 2 i 1 + v 2 − C 2 R 2 C 1 R 1 t = 0 V o...
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## This note was uploaded on 12/29/2009 for the course ENG EK 307 taught by Professor Horenstein during the Spring '09 term at BU.

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