Question: (a) Show that the system of differential equations for the charge on the capacitor q(t) and the current i 3 (t) in the electrical network

(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,

d R1 C9 + Riz = E(t) dt diz L dt +

i₃(0) = 0, and q(0) = 0.

Figure 7.6.9

Ris - 9 = 0.

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

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Question: (a) Show that the system of differential equations for the charge on the capacitor q(t) and the current i 3 (t) in the electrical network

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