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Unformatted text preview: ECE 232 fall 2004 Exam 1
Dr. Glaser September 30, 2004 Honor Code Agreement “On my honor, I pledge that I have not violated the provisions of the NJIT Student
Honor Code” Name: [Dnumber Signed: Problem 1. The capacitor in the RC circuit shown below is initially de—energized. Find
vabﬁ) for t>0. v(t) 5 0 2.302 Problem 2. The initial conditions for the RLC circuit in the ﬁgure below are vab(0+) = 10
and 5110*) = 0. a) Find the roots of the characteristic equation and identify the type of response. b) What is the form of the response vabm ‘2 0) Evaluate the arbitrary constants to determine the response 176.5(1). d) What value should the resistance be in order for the response to be critically damped? Problem 3. For the series RLC circuit shown below: a) Apply Kirchhoﬂ’s voltage law to the loop to write a differential equation valid for
t>0 in terms of the voltage across the vc(t) across the capacitor. [Hintz ic=Cdv/dt] b) Find the roots of the resulting characteristic equation. c) Determine the relevant initial conditions. d) Find vcﬁ) for t>0. ...
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