You have been living abroad for a few weeks and has decided to buy an appliance that has the impedance equal to 10+ j3 at 60Hz. Since the appliance was rated 110V, you have been instructed to also buy a 220V to 110V transformer to step the voltage. The cord used to connect the 220V side of the transformer to the convenience outlet has a impedance total of 1 + j0.5 . After measuring the outlet voltage, you got 220 V, rms. Solve for the voltage across the appliance and the current through it by referring the appliance to the transformer primary. (Note: Assign the convenience outlet voltage as a reference phasor) a. Draw the circuit that would solve for the values of → and →. Solve and show all the referred VL IL values. b. Solve for the values of → and →. VL 7

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You have been living abroad for a few weeks and has decided to buy an appliance that has the impedance
equal to 10+ j3 at 60Hz. Since the appliance was rated 110V, you have been instructed to also buy a
220V to 110V transformer to step the voltage.
The cord used to connect the 220V side of the transformer to the convenience outlet has a impedance
total of 1 + j0.5 2. After measuring the outlet voltage, you got 220 Vrms.
Solve for the voltage across the appliance and the current through it by referring the appliance to the
transformer primary. (Note: Assign the convenience outlet voltage as a reference phasor)
a.
Draw the circuit that would solve for the values of → and →. Solve and show all the referred
VL IL
values.
b. Solve for the values of → and →.
VL IL
Transcribed Image Text:You have been living abroad for a few weeks and has decided to buy an appliance that has the impedance equal to 10+ j3 at 60Hz. Since the appliance was rated 110V, you have been instructed to also buy a 220V to 110V transformer to step the voltage. The cord used to connect the 220V side of the transformer to the convenience outlet has a impedance total of 1 + j0.5 2. After measuring the outlet voltage, you got 220 Vrms. Solve for the voltage across the appliance and the current through it by referring the appliance to the transformer primary. (Note: Assign the convenience outlet voltage as a reference phasor) a. Draw the circuit that would solve for the values of → and →. Solve and show all the referred VL IL values. b. Solve for the values of → and →. VL IL
Μ
1Ω j0.5 Ω
+
(1) 220 V rms
I
220 V : 110 V
+
10 + j3 Vi
Ω
|
Transcribed Image Text:Μ 1Ω j0.5 Ω + (1) 220 V rms I 220 V : 110 V + 10 + j3 Vi Ω |
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