Given that the system of differential equations for the currents iz(t) and iz(t) in an electrical...

 

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Given that the system of differential equations for the currents iz(t) and iz(t) in an electrical network is diz LI + R iz + Riz = E(1) dt diz L2 + R iz + Riz = E(t) dt (a) Using Laplace transforms, solve the system for iz(t) only if R = 5 2, L, = 0.01 h, L2 = 0.0125 h, E = 100 V, iz(0) = 0 and i3(0) = 0. (b) Discuss the motion of i2(t) as t → 00. (c) How soon will the current i2(t) reach 10 A? Given that the system of differential equations for the currents iz(t) and iz(t) in an electrical network is diz LI + R iz + Riz = E(1) dt diz L2 + R iz + Riz = E(t) dt (a) Using Laplace transforms, solve the system for iz(t) only if R = 5 2, L, = 0.01 h, L2 = 0.0125 h, E = 100 V, iz(0) = 0 and i3(0) = 0. (b) Discuss the motion of i2(t) as t → 00. (c) How soon will the current i2(t) reach 10 A?