The 3 inductors in the circuit are connected across the terminals of a black box at t=0. The resulting voltage for t>0 is known as Vb. If i1(0) = 10 A and i2(0) = -5 A, find:
a) io(0)
b) io(t), t>0
c) i1(t), t>0
d) i2(2), t>0
e) What is the total energy delivered to the black box?
f) What is the value of the internal resistance of the box?
To the right of the circuit is an 8H (i1) and a 32H (i2) inductor in parallel. Beneath that and to the right (running up to the parallel inductors is a 3.6 H Inductor (In series). To the right of that is a wire with a switch (T=0) with the other side of that wire attached to the far side of the parallel inductors. In parallel with that wire (to the far right) is the black box. On the box Vb = 1250e^(-25t)V