t=050 NThe circuit has been running for a long time prior to the switchclosing at t=0. The supply voltage is 100 /2sin(100t) V. Thecomplete response of the i,(t) is of the form:0.5 H(-A,t)¿,(t) = A,e+ B,sin(100t + B,) AmpsVs(t)50 Qwhere A,, A2, B,, and B, are unknown. Find the:1) instantaneous value of i, at the moment of switching (t=0).2) values of B, and B, in the forced response component of i (t). Provide the unit of B,.3) values of A, and A, in the natural response component of i(t).

Answered: Image /qna-images/answer/0ff85c95-705e-44a5-afee-76107bd07228.jpg

t=0 The circuit has been running for a long time prior to the switch 50 N closing at t=0. The supply voltage is 100/2sin(100t) V. The complete response of the i(t) is of the form: 0.5 H (-A,t) + B,sin(100t + B,) Amps vs(t) 50 2 i,(t) = A,e where A,, A,, B,, and B, are unknown. Find the: 1) instantaneous value of i, at the moment of switching (t-0). 2) values of B, and B, in the forced response component of i (t). Provide the unit of B,. 3) values of A, and A, in the natural response component of i (t).

t=0 The circuit has been running for a long time prior to the switch 50 N closing at t=0. The supply voltage is 100/2sin(100t) V. The complete response of the i(t) is of the form: 0.5 H (-A,t) + B,sin(100t + B,) Amps vs(t) 50 2 i,(t) = A,e where A,, A,, B,, and B, are unknown. Find the: 1) instantaneous value of i, at the moment of switching (t-0). 2) values of B, and B, in the forced response component of i (t). Provide the unit of B,. 3) values of A, and A, in the natural response component of i (t).

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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Concept explainers

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).

Question

t=0
50 N
The circuit has been running for a long time prior to the switch
closing at t=0. The supply voltage is 100 /2sin(100t) V. The
complete response of the i,(t) is of the form:
0.5 H
(-A,t)
¿,(t) = A,e
+ B
,sin(100t + B,) Amps
Vs(t)
50 Q
where A,, A2, B,, and B, are unknown. Find the:
1) instantaneous value of i, at the moment of switching (t=0).
2) values of B, and B, in the forced response component of i (t). Provide the unit of B,.
3) values of A, and A, in the natural response component of i(t).

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