The parameters of a certain linear transformer are R1 = 100 Q, R2 = 200 Q, L1 = 6.25 H, L2 = 4 H, and k = 0.6. R1 is the resistance of the primary winding and Li is the self-inductance of the primary winding. R2 is the resistance of the secondary winding and L2 is the self-inductance of the secondary winding. The transformer couples a load-impedance consisting of a 1 ko resistor in series with a 2 µF capacitor on the secondary to the sinusoidal voltage source on the primary. The 250 Vrms source has an internal impedance of 250 + j100 Q and a frequency of 250 rad/sec. a) Construct a properly labeled frequency-domain equivalent circuit of the system. b) Calculate the self-impedance of the primary circuit. c) Calculate the self-impedance of the secondary circuit. d) Calculate the impedance reflected into the primary winding in polar form.

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The parameters of a certain linear transformer are R1 = 100 Q, R2 = 200 Q, L1 = 6.25 H, L2 = 4 H, and
k = 0.6. R1 is the resistance of the primary winding and Li is the self-inductance of the primary winding. R2 is
the resistance of the secondary winding and L2 is the self-inductance of the secondary winding. The transformer
couples a load-impedance consisting of a 1 kl resistor in series with a 2 µF capacitor on the secondary to the
sinusoidal voltage source on the primary. The 250 Vrms source has an internal impedance of 250 + j100 Q and a
frequency of 250 rad/sec.
a) Construct a properly labeled frequency-domain equivalent circuit of the system.
b) Calculate the self-impedance of the primary circuit.
c) Calculate the self-impedance of the secondary circuit.
d) Calculate the impedance reflected into the primary winding in polar form.
Transcribed Image Text:The parameters of a certain linear transformer are R1 = 100 Q, R2 = 200 Q, L1 = 6.25 H, L2 = 4 H, and k = 0.6. R1 is the resistance of the primary winding and Li is the self-inductance of the primary winding. R2 is the resistance of the secondary winding and L2 is the self-inductance of the secondary winding. The transformer couples a load-impedance consisting of a 1 kl resistor in series with a 2 µF capacitor on the secondary to the sinusoidal voltage source on the primary. The 250 Vrms source has an internal impedance of 250 + j100 Q and a frequency of 250 rad/sec. a) Construct a properly labeled frequency-domain equivalent circuit of the system. b) Calculate the self-impedance of the primary circuit. c) Calculate the self-impedance of the secondary circuit. d) Calculate the impedance reflected into the primary winding in polar form.
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