For the Circuit Shown Below, Let (A) Find Impedances $\mathrm { Z } _ { \mathrm { L } } , \mathrm { Z } _ { \mathrm { Cl } } , \mathrm { Z } _ { \mathrm { C } 2 }$

question 5

Essay

for the circuit shown below, let $$\begin{array} { l } \mathrm { vs } ( \mathrm { t } ) = 575 \cos \left( 2 \pi 60 \mathrm { t } + 30 ^ { \circ } \right) \\\mathrm { R } _ { 1 } = 35 \Omega , \mathrm { R } _ { 2 } = 53 \Omega , \mathrm { L } = 76 \mathrm { mH } , \mathrm { C } _ { 1 } = 117 \mu \mathrm { F } , \mathrm { C } _ { 2 } = 106 \mu \mathrm { F }\end{array}$$ (a) Find impedances $\mathrm { Z } _ { \mathrm { L } } , \mathrm { Z } _ { \mathrm { Cl } } , \mathrm { Z } _ { \mathrm { C } 2 }$ , and phasor $\mathrm { V } _ { \mathrm { S } }$ for $\mathrm { vs } ( \mathrm { t } )$ .
(b) Find the equivalent impedance $Z _ { a }$ of parallel combination of $Z _ { C 2 }$ and $Z _ { R 2 } + Z _ { L }$ .
(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 capacitor $C _ { 2 }$ .

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