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

question 4

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 $\mathrm { Vo } _ { \mathrm { o } } ( \mathrm { t } )$ .

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Definitions:

Codons

Sequences of three nucleotides in mRNA that specify the addition of a specific amino acid or signal the termination of protein synthesis.

DNA Replication

The biological process of producing two identical replicas of DNA from one original DNA molecule.

X-linked Recessive

An X-linked recessive trait is a mode of genetic inheritance by which a mutation in a gene on the X chromosome causes the phenotype to be expressed in males and in females who are homozygous for the gene mutation.

Color-blindness

A genetic condition where an individual's perception of colors is different from normal due to the lack of or malfunction of certain color-detecting molecules in the eyes.