Find the charge and current in an RLC circuit with R = 11 ohms, L = 0.11 H and C = 0.13 F, which is connected to the source V(t) = 12. Assume that the initial current I, is 0 and the initial capacitor charge q, is 0.05. i. Choose the format of the natural response. The x, and x, are the roots of the auxiliary equation. a. q, = C,e' + C,e + C,te*1 b. 4, Ce Values of x, x, C,and C, of the natural response. iii. Choose the format of the forced response. The x, and x, are the roots of the auxiliary equation. a. q. = C,e + C,e +q, x,t b. q, = C,e + C,te Values of x, 11 iv. X, C,, C, and q of the natural response. Find I(0.1) or current at t=1 sec or 100ms vi. Find I(0.2) Find I(0.3) V. vii.

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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Find the charge and current in an RLC circuit with R = 11 ohms, L = 0.11 H
and C = 0.13 F, which is connected to the source V(t) = 12. Assume that
the initial current I, is 0 and the initial capacitor charge q, is 0.05.
i. Choose the format of the natural response. The x, and x, are the
roots of the auxiliary equation.
a. q, = C,e+ C,e*
9, = C,e"+
Values of x,, x, C,and C, of the natural response.
ii. Choose the format of the forced response. The x, and x,
ii.
are the
roots of the auxiliary equation.
a. q. = C,e
x.t
+ C,e +q,
d.
b. q, = C,e + C,te +
iv. Values of x,, x, C,, C, and q, of the natural response.
Find I(0.1) or current at t=1 sec or 100ms
Find I(0.2)
Find I(0.3)
9,
V.
vi.
vii.
Transcribed Image Text:Find the charge and current in an RLC circuit with R = 11 ohms, L = 0.11 H and C = 0.13 F, which is connected to the source V(t) = 12. Assume that the initial current I, is 0 and the initial capacitor charge q, is 0.05. i. Choose the format of the natural response. The x, and x, are the roots of the auxiliary equation. a. q, = C,e+ C,e* 9, = C,e"+ Values of x,, x, C,and C, of the natural response. ii. Choose the format of the forced response. The x, and x, ii. are the roots of the auxiliary equation. a. q. = C,e x.t + C,e +q, d. b. q, = C,e + C,te + iv. Values of x,, x, C,, C, and q, of the natural response. Find I(0.1) or current at t=1 sec or 100ms Find I(0.2) Find I(0.3) 9, V. vi. vii.
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