A certain network has an input admittance Y(s). The admittance has a pole at s = -3, a zero at s = -1, and Y(?) = 0.25 S.
a. Find Y(s).
b. An 8-V battery is connected to the network via a switch. If the switch is closed at t = 0, find the current i(t) through Y(s) using the Laplace transform.
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