Consider the circuit in Figure Q2. v(t) is the input DC voltage powering the circuit, whereas i, (1) is the inductor current that is being monitored. Sį is the switch that controls the circuit. There is no current flowing through the inductor initially. At 1 = 0, Sį is connected to point A. At t =X,i,(t) reaches 2 Ampere and Sį is switched to point B. The circuit is left to reach steady state in that configuration. Given that v(t) = 5u(t), (i) Sketch the circuit in s-domain for 0 X. (vii) Obtain i, (t) for t> X. 30. 1H v(t) İ(1)
Consider the circuit in Figure Q2. v(t) is the input DC voltage powering the circuit, whereas i, (1) is the inductor current that is being monitored. Sį is the switch that controls the circuit. There is no current flowing through the inductor initially. At 1 = 0, Sį is connected to point A. At t =X,i,(t) reaches 2 Ampere and Sį is switched to point B. The circuit is left to reach steady state in that configuration. Given that v(t) = 5u(t), (i) Sketch the circuit in s-domain for 0 X. (vii) Obtain i, (t) for t> X. 30. 1H v(t) İ(1)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
![(b)
Consider the circuit in Figure Q2. v(t) is the input DC voltage powering the circuit,
whereas i, (t) is the inductor current that is being monitored. Si is the switch that
controls the circuit. There is no current flowing through the inductor initially. At t = 0,
Sį is connected to point A. At t =X,i,(t) reaches 2 Ampere and Sį is switched to point
B. The circuit is left to reach steady state in that configuration. Given that v(t) = 5u(t),
(i) Sketch the circuit in s-domain for 0<t<X.
(ii)
Obtain the expression of I, (s) for 0<t<X.
(iii) Obtain i, (t) for 0<t<X.
(iv) Calculate the value of X.
(v) Sketch the circuit in s-domain for t> X.
(vi) Obtain the expression of I, (s) for t> X.
(vii) Obtain i, (t) for t> X.
10
3Ω.
10.
1H
v(t)
Figure Q2
B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a30be74-a81e-4985-b94d-4cd71e619e2d%2F0c62fd68-60e6-4d41-ad6a-224be8f034fd%2Fnrnvoq_processed.png&w=3840&q=75)
Transcribed Image Text:(b)
Consider the circuit in Figure Q2. v(t) is the input DC voltage powering the circuit,
whereas i, (t) is the inductor current that is being monitored. Si is the switch that
controls the circuit. There is no current flowing through the inductor initially. At t = 0,
Sį is connected to point A. At t =X,i,(t) reaches 2 Ampere and Sį is switched to point
B. The circuit is left to reach steady state in that configuration. Given that v(t) = 5u(t),
(i) Sketch the circuit in s-domain for 0<t<X.
(ii)
Obtain the expression of I, (s) for 0<t<X.
(iii) Obtain i, (t) for 0<t<X.
(iv) Calculate the value of X.
(v) Sketch the circuit in s-domain for t> X.
(vi) Obtain the expression of I, (s) for t> X.
(vii) Obtain i, (t) for t> X.
10
3Ω.
10.
1H
v(t)
Figure Q2
B.
![(a)
The output y(t) of a continuous-time Linear Time-Invariant (LTI) system is found to be
2e-3tu(t) when the input x(t) is u(t). Using Laplace Transform, find:
(i)
the impulse response h(t) of the system.
(ii)
the output y(t) when the input is x(t) = e¬tu(t) .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a30be74-a81e-4985-b94d-4cd71e619e2d%2F0c62fd68-60e6-4d41-ad6a-224be8f034fd%2Fd2feb2n_processed.png&w=3840&q=75)
Transcribed Image Text:(a)
The output y(t) of a continuous-time Linear Time-Invariant (LTI) system is found to be
2e-3tu(t) when the input x(t) is u(t). Using Laplace Transform, find:
(i)
the impulse response h(t) of the system.
(ii)
the output y(t) when the input is x(t) = e¬tu(t) .
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