AP$9\mathrm{.}14\_9$ed

A linear transformer couples a load ZL $=360($Ohm$)$ resistor in series with a $0\mathrm{.}25$ H inductor to a sinusoidal voltage source.

The voltage source VS has an internal impedance ZS $=184+$ j $0($Ohm$)$ and a maximum voltage of $245\mathrm{.}20$ V$.$

The frequency of the source VS is $800$ rad$/$sec$.$

R$1=100($Ohm$)$ L$1=0\mathrm{.}5$ H

R$2=40($Ohm$)$ L$2=0\mathrm{.}125$ H$$ k $=0\mathrm{.}4$

a$)$ Calculate the reflected impedance.

$$ Zr $=$ Answer $1$ Question $5+$ j Answer $2$ Question $5($Ohm$)($real $+$ j imaginary$)$

b$)$ Calculate the time domain primary $($source$)$ side current.$$ Use the form i$1($t$)=$ Im cos $($w$$t $+$ $)$ Amps

$$ i$1($t$)=$ Answer $3$ Question $5$ cos $(800$ t $+$ Answer $4$ Question $5)($Degrees$)$ Amps

c$)$ Calculate the secondary $($load$)$ side current.$$ Use the form i$2($t$)=$ Im cos $($w$$t $+$ $)$ Amps

$$ i$2($t$)=$ Answer $5$ Question $5$ cos $(800$ t $+$ Answer $6$ Question $5)($Degrees$)$ Amps

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