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Unformatted text preview: EE2011 HOMEWORK # 4 CO3 This assignment is due Friday, Febru:.ry 7 Important Reading: Read pages 119120 and 130131 in your Hambly textbook to
learn how to compute the capacitance and inductance of capacitors and inductors that
are in series and in parallel. You will need to know this to solve some of the problems below. Problem 1: For the following circuit, use transient analysis techniques to ﬁnd: loll {ffc;
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“i” + 1}; _4F 30V zaJl a) What is the capacitor voltage prior to the switch openning, vc(0_). 2 O \/ b) What is the capacitor voltage immediately after the switch openning vc(0+). lo \/
c) What is the capacitor voltage when the circuit has reached steady state, 00(00).;7>@ \/
d) What is the time constant for this circuit, 7'. 4 0 5C; 6) What is the complete capacitor voltage response for t Z 0, vc(t). _‘b
Be sure to show all your work. VC ( t3 :_ ~— 1 O a M O —_;_ 3 O V Problem 2: For the following circuit, use trnnsrent analysis techniques to ﬁnd: a) What is the inductor current prior to the switch closure, zL(O‘). Z A b) What is the inductor current immediately after the switch closure, 2L(0+). 2_ A c) What is the inductor current when the circuit has reached steady state, 1 Z, A
d) What is the time constant for this circuit, 7. } ‘ L 5.9; e) What is the complete inductor current response for t 2 0, zL(t).
(Ltt): C 1’1) c—t/“L 4 1 z: ‘2_ A Problem 3: For the following circu1t, use transient analysis techniques to ﬁnd 5.0, ,ov a) What is the capacitor voltage prior to the switch openning vc(0‘). O \/ b) What is the capacitor voltage immediately after the switch openning UC(O+). O \/ c) What is the resistor voltage prior to the switch openning 1),.(0‘). ) O \/ d) What is the resistor voltage immediately after the switch openning vT(0+). lO \/ e) What is the resistor voltage when the circuit has reached steady state, vr(oo). 5 V f) What is the Thevenin resistance seen by the capacitor during the transient period? 2”; ﬂ
g) What is the time constant for this circuit, 7‘. 5 55¢. _ By” What is the complete resistor voltage response for t 2 0, 'vr(t). 5 C “‘3 +5 \/ )
i) If we replaced the capacitor by two 1 F capacitors in parallel, what would be the new
time constant for this circuit? 55cc j) If we replaced the capacitor by three 2 F capacitors in series, what would be the new
time constant for this circuit? 3 5 CL 3 Problem 4: For the following circuit, use transient analys1s techniques to ﬁnd: What is the inductor current prior to the switch closure, iL(O‘). 6 A What is the inductor current immediately after the switch closure, iL(O+). 6A
What is the resistor current prior to the switch closure, “(0‘). O A What is the resistor current immediately after the switch closure, 240+). o A What is the inductor current when the circuit has reached steady state, 2L(oo). 6 A 0‘93
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\../ What is the Thevenin resistance seen by the inductor during the transient period? ’0 1;. H10 ) What is the time constant for this circuit, 7‘. O. l 5€C t/
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h) What is the complete re51stor current response for t 2 0, t, c: (0 *OJC —}— O : O A
) If we replaced the inductor by two 2 H inductors in parallel, what would be the new
time constant for this circuit? 0. l 56 c. j) If we replaced the inductor by three 1 H inductors in series, what would be the new
time constant for this circuit? (9‘3 66¢, \ﬁb \‘ AN, 0 L curve'71:, 1’ “DOV
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This note was uploaded on 03/29/2009 for the course ECE ECE2011 taught by Professor Cyganski during the Spring '03 term at WPI.
 Spring '03
 Cyganski

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