For the Circuit Shown Below, Let (A) Find Impedances $Z _ { L 1 } , Z _ { L 2 }$

Essay

for the circuit shown below, let $$\begin{array} { l } \mathrm { vs } ( \mathrm { t } ) = 545 \cos \left( 2 \pi 60 \mathrm { t } - 60 ^ { \circ } \right) , \mathrm { R } _ { 1 } = 20 \Omega , \mathrm { R } _ { 2 } = 33 \Omega , \mathrm { L } _ { 1 } = 63 \mathrm { mH } , \mathrm { L } _ { 2 } = 72 \mathrm { mH } \text {, } \\\mathrm { C } = 128 \mu \mathrm { F }\end{array}$$
(a) Find impedances $Z _ { L 1 } , Z _ { L 2 }$ , and $Z _ { C }$ .
(b) Find the equivalent impedance $\mathrm { Z } _ { \mathrm { a } }$ of parallel combination of $\mathrm { Z } _ { \mathrm { L } 2 }$ and $\mathrm { Z } _ { \mathrm { R } 2 } + \mathrm { Z } _ { \mathrm { C } }$ .
(c) Find the total impedance $Z _ { t }$ seen from the voltage source.
(d) Find the phasor for the current I.
(e) Find the phasor for $V _ { o }$ across the inductor $L _ { 2 }$ .
(f) Find the phasors for $I _ { 1 }$ and $I _ { 2 }$ .
(g) Find $\mathrm { Vo } _ { \mathrm { o } } ( \mathrm { t } )$ .