Problem 5) RLC parallel circuit
Is
R1
L1
C1
a) For the above circuit, derive the differential equation for the current through the
inductor. (Hint, start with KCL and consider that each component is in parallel.)
Recall, the general homogeneous differential equation may be expressed as
$\frac{d^2f}{dt^2} + 2\alpha \frac{df}{dt} + \omega_0^2f = 0$
b) Based on your part a answer, identify $\alpha$ and $\omega_0$ for the above circuit.
c) If the source is Is = 5u(t) mA, determine the initial conditions for the voltage and
current of each component.
d) If the source is Is = 5u(-t) mA, determine the initial conditions for the voltage and
current of each component.
