Problem 8.3-8

The two steady states can be found by finding the equivalent current at the switches.

When the switch is open, the 2 kΩ resistor is taken into account, forming a Rt = 4 kΩ resistor with the lower one.

Thus by using an equivalent source, the voltage source becomes a current one,

with a current of I = U/Rt = 8/4 = 2 mA

When the switch is closed, the 2 kΩ resistor is not taken into account, thus Rt = 2 kΩ (only the lower one).

Thus by using an equivalent source, the voltage source becomes a current one,

with a current of I = U/Rt = 8/2 = 4 mA

So when t < 0 we have iL(t) = 2 mA and when t > 0 then iL(t) = 4 mA