Model and solve by the Laplace transform: Show that, by Kirchhoffs Voltage Law, the currents in the

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Model and solve by the Laplace transform:

Show that, by Kirchhoff€™s Voltage Law, the currents in the network in Fig. 153 are obtained from the system

Lij + R(i1 – i2) = v(t) R(i – if) +i2 = 0.

Solve this system, assuming that R = 10 Ω, L = 20 H, C = 0.05 F, v = 20 V, i1(0) = 0, i2(0) = 2 A.

Fig. 153

ll iz v(t)

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