t=0 50 Ω 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) i,(t) = A,e + B,sin(100t + B,) Amps vs(t) 50 Ω 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 B2. 3) values of A, and A, in the natural response component of i (t).
t=0 50 Ω 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) i,(t) = A,e + B,sin(100t + B,) Amps vs(t) 50 Ω 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 B2. 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
Chapter24: Resistive-inductive-capacitive Parallel Circuits
Section: Chapter Questions
Problem 1RQ: An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in...
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