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QUESTION 2 The switch shown in the circuit of Figure 2 has been in position a for a long time. At t=0, the switch is moved instantaneously to position b. Determine i(t) for t≥ 0. ORA 10 75 mA 50 Q Ω / b 80 mH 40 Ω Figure 2: Circuit diagram for Question 2. 200 μF

QUESTION 2 The switch shown in the circuit of Figure 2 has been in position a for a long time. At t=0, the switch is moved instantaneously to position b. Determine i(t) for t≥ 0. ORA 10 75 mA 50 Q Ω / b 80 mH 40 Ω Figure 2: Circuit diagram for Question 2. 200 μF

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Please use second order circuit formula to solve.

Need V0 = capasitor initial voltage        and I0 = Inductor initial current

alpha = 1/2RC = 250,      w0= sqrt(1/LC) = 250 so criticalli damped responce

i(t)=D1te^-alpha t +D2e^-alpha t

 equuation with alpha in it  is: i(t)=D1te^-250t +D2e^-250t

2 simultaneous equations to solve for D1 and D2 are:

D2=I0

D1-250D2=di/dt                           using formula v=Ldi/dt         di/dt=V/L

 

QUESTION 2 The switch shown in the circuit of Figure 2 has been in position a for a long time. At t=0, the switch is moved instantaneously to position b. Determine i(t) for t≥ 0. S OTA Y 75 mA 50 Q Ω / b 80 mH 40 Ω Figure 2: Circuit diagram for Question 2. 200 μF
Transcribed Image Text:QUESTION 2 The switch shown in the circuit of Figure 2 has been in position a for a long time. At t=0, the switch is moved instantaneously to position b. Determine i(t) for t≥ 0. S OTA Y 75 mA 50 Q Ω / b 80 mH 40 Ω Figure 2: Circuit diagram for Question 2. 200 μF
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