Home / Exercises 07 / Impedance Networks

Impedance Networks

The questions below are due on Wednesday April 15, 2020; 11:59:00 PM.
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Each of the networks shown below is driven in steady-state by the sinusoidal input voltage/current source depicted. Use the impedance method to determine i_R, the current through the resistor R.

It might be helpful in this (and all sorts of circuits like this) to remember the acronym CIVIL, which stands for: In a Capacitor, current I leads voltage V. and in an inductor L, V voltage leads current I!!! This of course won't give you numerical answers that needed here, but should help you in what to expect. "Ah a capacitive circuit! I'd expect current to have a phase lead on voltage! That makes sense!"

If you don't like CIVIL, there's also ELI the ICE man. In inductors, E leads I...in Capacitors I leads E.

Circuit A

Assume R=470\Omega, C_1=47\mu F, C_2=33\mu F, and V=5 V.

For circuit A, i_{R}=

Circuit B

For this circuit asusme R=100\Omega, L_1=100mH and I=50mA.

For circuit B, i_{R}=