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For the Circuit Shown Below, Let (A) Find Impedances ZR1,ZL1,ZR2Z _ { \mathrm { R } 1 } , Z _ { L 1 } , Z _ { R 2 }

question 3

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for the circuit shown below, let vs(t)=457cos(2π60t110)V,R1=20Ω,R2=65Ω,L1=35mH,L2=85mH,C=95μF\mathrm { vs } ( \mathrm { t } ) = 457 \cos \left( 2 \pi 60 \mathrm { t } - 110 ^ { \circ } \right) \mathrm { V } , \mathrm { R } _ { 1 } = 20 \Omega , \mathrm { R } _ { 2 } = 65 \Omega , \mathrm { L } _ { 1 } = 35 \mathrm { mH } , \mathrm { L } _ { 2 } = 85 \mathrm { mH } , \mathrm { C } = 95 \mu \mathrm { F }
(a) Find impedances ZR1,ZL1,ZR2Z _ { \mathrm { R } 1 } , Z _ { L 1 } , Z _ { R 2 } , ZL2, Z ZCZ _ { C } and phasor VSV _ { S } for vs(t).
(b) Find the equivalent impedance ZaZ _ { a } of parallel combination of ZR2+ZL2Z _ { R 2 } + Z _ { L 2 } and ZCZ _ { C } .
(c) Find the total impedance ZtZ _ { t } seen from the voltage source.
(d) Find the phasor for the current I.
(e) Find the phasor for VCV _ { C } across the capacitor.
(f) Find vC(t)v _ { C } ( t ) .
 for the circuit shown below, let  \mathrm { vs } ( \mathrm { t } ) = 457 \cos \left( 2 \pi 60 \mathrm { t } - 110 ^ { \circ } \right) \mathrm { V } , \mathrm { R } _ { 1 } = 20 \Omega , \mathrm { R } _ { 2 } = 65 \Omega , \mathrm { L } _ { 1 } = 35 \mathrm { mH } , \mathrm { L } _ { 2 } = 85 \mathrm { mH } , \mathrm { C } = 95 \mu \mathrm { F }  (a) Find impedances  Z _ { \mathrm { R } 1 } , Z _ { L 1 } , Z _ { R 2 } , ZL2, Z  Z _ { C }  and phasor  V _ { S }  for vs(t). (b) Find the equivalent impedance  Z _ { a }  of parallel combination of  Z _ { R 2 } + Z _ { L 2 }  and  Z _ { 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 _ { C }  across the capacitor. (f) Find  v _ { C } ( t ) .

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