Problem $1$:

Consider the circuit in Figure $1$ with an AC voltage source of Vin$=10cos(100t+45),$ calculate:

$184$ic $+$

a$)$ The total impedance, $Z_T.$

b$)$ The total current I.

c$)$ The voltage across the capacitor $C1V_C$

d$)$ The voltage across the inductor $L1V_L$

e$)$ The total average power absorbed $P_a$

f$)$ The total average power supplied $P_b$

Problem $2$:

$4\mathrm{.}40$ Find $v_o$ in the circuit in Fig. P$4\mathrm{.}40.$

Figure P$4\mathrm{.}40$