(a) Show that the system of differential equations for the charge on the capacitor q(t) and the...

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(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 7.6.9 is

dą R1 C9 + Riz = E(t) dt diz L dt + Ris - 9 = 0.


(b) Find the charge on the capacitor when L = 1 h, R1 = 1 Ω, R2 = 1 Ω, C = 1 f,


i3(0) = 0, and q(0) = 0.


Figure 7.6.9

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