In an RLC series circuit as shown in Figure 2, R = 40 Q, L = 1 H, C = 16 x 10-F, and the voltage source is E (t) = 100 cos 10t V. Determine the current i(t) in the circuit using the undetermined coefficients if at the initial time i (0) = 0, and q (0) = 0 C. Hint: Note that R switch d²q dq 1 L dt² 79=E(t) E C Figure 2 and L +R + dt dq dt

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In an RLC series circuit as shown in Figure 2, R = 40 Q, L = 1 H, C = 16 x 10* F, and
the voltage source is E (t) = 100 cos 10t V.
Determine the current i(t) in the circuit using the undetermined coefficients if at the
initial time i(0) = 0, and q (0) = 0 C.
Hint: Note that
R
d²q
1
switch
L
²a +R+9=E(t)
L
dt²
dt
dq
dt
E
C
Figure 2
and
Transcribed Image Text:In an RLC series circuit as shown in Figure 2, R = 40 Q, L = 1 H, C = 16 x 10* F, and the voltage source is E (t) = 100 cos 10t V. Determine the current i(t) in the circuit using the undetermined coefficients if at the initial time i(0) = 0, and q (0) = 0 C. Hint: Note that R d²q 1 switch L ²a +R+9=E(t) L dt² dt dq dt E C Figure 2 and
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