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).

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter21: Resistive-capacitive Series Circuits

Section: Chapter Questions

Problem 2PP: Assume that the voltage drop across the resistor, ER, is 78 V; the voltage drop across the...

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