Your aunt living in the USA sent an appliance that has impedance equal to 10+ j3 2 at 60 Hz. She instructed you to purchase a 220 V to 110 V transformer to step down the voltage since the appliance is rated 110 V. The cord that you used to connect the 220 V side of the transformer to the convenience outlet has a total impedance of 1 + j0.5 Q. You measured the voltage at the outlet and the value is 220 Vrms. The equivalent circuit is shown below: 1Ω mu IL + (N) 220 V rms 10+j3 VL 22 220 V 110 V Solve for the voltage across the appliance and the current through it by either A. Referring the appliance to the transformer primary, OR B. Referring the source and cord impedance to the transformer secondary. Assign the convenience outlet voltage as the reference phasor, i.e. at 0°. Choose only one method above. After choosing, 1. Draw the circuit that would solve for V₁ and T. Compute all referred values and label all components. j0.5 Ω

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Your aunt living in the USA sent an appliance that has impedance equal to 10+ j3 2 at 60 Hz.
She instructed you to purchase a 220 V to 110 V transformer to step down the voltage since the
appliance is rated 110 V. The cord that you used to connect the 220 V side of the transformer to
the convenience outlet has a total impedance of 1 + j0.5 Q. You measured the voltage at the
outlet and the value is 220 Vrms.
The equivalent circuit is shown below:
1Ω
m
IL
+
(N) 220 V rms
10+ j3 VL
22
220 V 110 V
Solve for the voltage across the appliance and the current through it by either
A. Referring the appliance to the transformer primary, OR
B. Referring the source and cord impedance to the transformer secondary.
Assign the convenience outlet voltage as the reference phasor, i.e. at 0°.
Choose only one method above. After choosing,
1. Draw the circuit that would solve for V₁ and T₁. Compute all referred values and label all
components.
j0.5 Ω
Transcribed Image Text:Your aunt living in the USA sent an appliance that has impedance equal to 10+ j3 2 at 60 Hz. She instructed you to purchase a 220 V to 110 V transformer to step down the voltage since the appliance is rated 110 V. The cord that you used to connect the 220 V side of the transformer to the convenience outlet has a total impedance of 1 + j0.5 Q. You measured the voltage at the outlet and the value is 220 Vrms. The equivalent circuit is shown below: 1Ω m IL + (N) 220 V rms 10+ j3 VL 22 220 V 110 V Solve for the voltage across the appliance and the current through it by either A. Referring the appliance to the transformer primary, OR B. Referring the source and cord impedance to the transformer secondary. Assign the convenience outlet voltage as the reference phasor, i.e. at 0°. Choose only one method above. After choosing, 1. Draw the circuit that would solve for V₁ and T₁. Compute all referred values and label all components. j0.5 Ω
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