For the Circuit Shown Below, Let $\mathrm { Vs } ( \mathrm { t } ) = 396 \cos \left( 2 \pi 60 \mathrm { t } - 30 ^ { \circ } \right) \mathrm { V }$

for the circuit shown below, let $\mathrm { Vs } ( \mathrm { t } ) = 396 \cos \left( 2 \pi 60 \mathrm { t } - 30 ^ { \circ } \right) \mathrm { V }$ ,
$\mathrm { R } _ { 1 } = 15 \Omega , \mathrm { R } _ { 2 } = 35 \Omega , \mathrm { R } _ { 3 } = 46 \Omega , \mathrm { L } _ { 1 } = 33 \mathrm { mH } , \mathrm { L } _ { 2 } = 63 \mathrm { mH } , \mathrm { C } = 126 \mu \mathrm { F }$
(a) Find impedances $Z _ { R 1 } , Z _ { R 2 } , Z _ { R 3 } , Z _ { L 1 } , Z _ { L 2 } , Z _ { C }$ , and phasor $V _ { S }$ for $v ( t )$ .
(b) Find the equivalent impedance $Z _ { e q }$ of parallel combination of $Z _ { R 2 } + Z _ { C }$ and $Z _ { R 3 } + Z _ { L }$ .
(c) Find the total impedance $Z _ { t }$ seen from the voltage source.
(d) Find the phasor for the current $\mathrm { I }$ .
(e) Find the phasor for load voltage $V _ { 0 }$ .
(f) Find the phasors for $I _ { 1 }$ and $I _ { 2 }$ .