I. Find the current in an RLC circuit with R = 11 ohms, L = (0.1 + T) H 100 and C = (0.01 + 00) 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. 1. Choose the format of the natural response. The x, and x2 are the roots of the auxiliary equation. x,t x,t a. q, = C,e* + C,e* un, x,t b. q, = C,e' + C,te 2. Values of x,, x, C¸and C, of the natural response. 3. Choose the format of the forced response The r and r are the

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Where n=3 and j=6

-) H
I. Find the current in an RLC circuit with R = 11 ohms, L = (0.1 +
100
F, which is connected to the source V(t) = 12. Assume
is 0.05.
%3D
and C = (0.01 +
that the initial current I is 0 and the initial capacitor charge
1. Choose the format of the natural response. The
and x, are the
roots of the auxiliary equation.
a. q, = C,e + C,e*
= C,e* + C,te*
1
b.
2. Values of x,, x,, C,and C, of the natural response.
and
are the
3. Choose the format of the forced response. The x,
x,
roots of the auxiliary equation.
x,t
a. q. = C,e ' + C,e
+ 9,
n.
1.
d.
x,t
= C,e
b. 4n
+ C,te**
ap
+ 9,
4. Values of x,, x, C,,C, and q, of the natural response.
2.
d.
Transcribed Image Text:-) H I. Find the current in an RLC circuit with R = 11 ohms, L = (0.1 + 100 F, which is connected to the source V(t) = 12. Assume is 0.05. %3D and C = (0.01 + that the initial current I is 0 and the initial capacitor charge 1. Choose the format of the natural response. The and x, are the roots of the auxiliary equation. a. q, = C,e + C,e* = C,e* + C,te* 1 b. 2. Values of x,, x,, C,and C, of the natural response. and are the 3. Choose the format of the forced response. The x, x, roots of the auxiliary equation. x,t a. q. = C,e ' + C,e + 9, n. 1. d. x,t = C,e b. 4n + C,te** ap + 9, 4. Values of x,, x, C,,C, and q, of the natural response. 2. d.
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