(a) Show that the system of differential equations for the charge on the capacitor q(t) and the current i3(1) in the electrical network shown in Figure 2 is dq 1 +++Ri, = E(t) dt C dis dt (b) Find the charge on the capacitor when L= lh, R, = 12, R, = 12,C=1f, 0, 0

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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4.
R1
iz
E
C
L
R,
Figure 2
(a) Show that the system of differential equations for the charge on the capacitor q(t)
and the current i3(t) in the electrical network shown in Figure 2 is
dq 1
R,
di *79+Ri, = E(t)
di,
+ Ri, -=0.
dt
(b) Find the charge on the capacitor when L= lh, R, = 12, R, = 12, C = lf,
0,
0<t<1
E(t)={.
(50e",
t21,
i, (0) = 0, and q(0)=0.
Transcribed Image Text:4. R1 iz E C L R, Figure 2 (a) Show that the system of differential equations for the charge on the capacitor q(t) and the current i3(t) in the electrical network shown in Figure 2 is dq 1 R, di *79+Ri, = E(t) di, + Ri, -=0. dt (b) Find the charge on the capacitor when L= lh, R, = 12, R, = 12, C = lf, 0, 0<t<1 E(t)={. (50e", t21, i, (0) = 0, and q(0)=0.
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