Question

(a) Show that the system of differential equations for the currents i2(t) and i3(t) in the...

(a) Show that the system of differential equations for the currents i2(t) and i3(t) in the electrical network shown in the figure below is

L1*(di2/dt) + Ri2 + Ri3 = E(t)

L2*(di3/dt) + Ri2 + Ri3 = E(t)

Solve the system in part (a) if

R = 5 Ω, L1 = 0.01 h, L2 = 0.05 h, E = 100 V, i2(0) = 0, and i3(0) = 0.

i2(t) =

??

i3(t) =

??  



(c) Determine the current i1(t).

i1(t) =

0 0
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