Problem $3$

$10$ points

Explain your reasoning for each step of the analysis in detail.

For the circuit shown below:

$($a$)$ Determine the equivalent impedance in the circuit.

$(3$ points$)$

Hint: This is an uncommon circuit where the equivalent impedance will look the same from either side because of how the elements are connected.

$($b$)$ Determine the terminal voltage $V_x.$

$(2$ points$)$

$($c$)$ Determine the branch currents, $I_1,I_2,I_3,I_4.$

$(3$ points$)$

$($d$)$ Determine the voltage, $V_C,$ across the capacitor

$(2$ points$)$