Consider the circuit in Figure 6-1 with Vin magnitude of 5 V and frequency of 3 kHz. 1. Calculate the total impedance of the circuit. 2. Calculate the power factor of the circuit. 3. Calculate the voltage and current (they are both complex numbers) in each element in the circuit. 4. Calculate the average power dissipated in each element in the circuit. 5. Calculate the total average power provided by the source. 6. Verify that the power generated by the source equals the total power dissipated in all the components in the circuit. 7. Assume that Vin = VmeJ0 and V = Vrme1 (Vx and Vxm are the magnitudes of Vin and Vx respectively, o is the phase angle between Vin and Vx, and they can be read on the oscilloscope). Prove that the following %3D equation is valid,

Consider the circuit in Figure 6-1 with Vin magnitude of 5 V and frequency of 3 kHz. 1. Calculate the total impedance of the circuit. 2. Calculate the power factor of the circuit. 3. Calculate the voltage and current (they are both complex numbers) in each element in the circuit. 4. Calculate the average power dissipated in each element in the circuit. 5. Calculate the total average power provided by the source. 6. Verify that the power generated by the source equals the total power dissipated in all the components in the circuit. 7. Assume that Vin = VmeJ0 and V = Vrme1 (Vx and Vxm are the magnitudes of Vin and Vx respectively, o is the phase angle between Vin and Vx, and they can be read on the oscilloscope). Prove that the following %3D equation is valid,

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Three Phase Induction Motor

The induction motor is an electric motor that runs on AC (alternating current) and it is of two type single phase motor that work on single-phase power supply and three-phase motor that work on three-phase power supply.

Question

Consider the circuit in Figure 6 – 1 with Vin magnitude of 5 V and frequency of 3 kHz.
1. Calculate the total impedance of the circuit.
2. Calculate the power factor of the circuit.
3. Calculate the voltage and current (they are both complex numbers) in each element in the circuit.
4. Calculate the average power dissipated in each element in the circuit.
5. Calculate the total average power provided by the source.
6. Verify that the power generated by the source equals the total power dissipated in all the components in the
circuit.
7. Assume that Vin = VmeJº and V, = VrmeJ® (Vx and Vxm are the magnitudes of Vin and Vx respectively, o
%3D
is the phase angle between Vin and Vx, and they can be read on the oscilloscope). Prove that the following
equation is valid,
Eq 6-6
|tan
sino
Vm
-cos(ø)
Vrm
%3D
where 0 = 0v – 0g is the power factor angle of the source. Hence the power factor PF = cos(0) can be found.
%3D
R1
1kO
100mH
0.01uF
Vin
Vx
R2
2.2kQ
C2
0.1uF
R3
2.2kQ
Figure 6 - 1Circuit
0000

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