Problem 2: Transformer circuit 1H R V mains 10 A transformer has a winding that has the equivalent circuit shown in the diagram. The winding is connected to the mains voltage, which has a frequency of 50 Hz and an rms voltage of 230 V. (a) What is the impedance of the transformer winding? Express your answer with magnitude and phase and correct units. (b) What current will flow through the winding? Express your answer as both a phasor and also as a function of time. Hint: You should assume the mains voltage has zero phase. (c) What are the power factor, the real power and the reactive power in the circuit?

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Problem 2: Transformer circuit
L
m
1H
R
Vmains
10
A transformer has a winding that has the equivalent circuit shown in the diagram. The winding
is connected to the mains voltage, which has a frequency of 50 Hz and an rms voltage of 230 V.
(a) What is the impedance of the transformer winding? Express your answer with magnitude
and phase and correct units.
(b) What current will flow through the winding? Express your answer as both a phasor and
also as a function of time. Hint: You should assume the mains voltage has zero phase.
(c) What are the power factor, the real power and the reactive power in the circuit?
(d) Why do we use rms quanitities when performing power calculations for ac circuits?
(e) We could modify the winding circuit to be resonant by adding a capacitor in series with the
resistor and inductor. What capacitor value would we need to use if we wanted to have the
resonant frequency be at the mains frequency?
(f) Explain qualitatively what we would need to do if we wanted to make a sharper resonance.
Transcribed Image Text:Problem 2: Transformer circuit L m 1H R Vmains 10 A transformer has a winding that has the equivalent circuit shown in the diagram. The winding is connected to the mains voltage, which has a frequency of 50 Hz and an rms voltage of 230 V. (a) What is the impedance of the transformer winding? Express your answer with magnitude and phase and correct units. (b) What current will flow through the winding? Express your answer as both a phasor and also as a function of time. Hint: You should assume the mains voltage has zero phase. (c) What are the power factor, the real power and the reactive power in the circuit? (d) Why do we use rms quanitities when performing power calculations for ac circuits? (e) We could modify the winding circuit to be resonant by adding a capacitor in series with the resistor and inductor. What capacitor value would we need to use if we wanted to have the resonant frequency be at the mains frequency? (f) Explain qualitatively what we would need to do if we wanted to make a sharper resonance.
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Given Transformer circuit,

Electrical Engineering homework question answer, step 1, image 1

Mains voltage, Vmains= 230 V (rms) 

At Frequency = 50 Hz

 

 

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