For each of the following sets of voltage and current, calculate the real and reactive power in the line between networks A and B in the circuit shown. In each case, state whether the power flow is from A to B or vice versa. Also state whether magnetizing vars are being transferred from A to B or vice versa. a) b) c) d) A B v i i = 20 cos (vt + 120 ) A. v = 100 cos vt V; i = 20 cos (vt - 105 ) A. v = 100 cos (vt - 45 ) V; i = 20 cos (vt + 165 ) A. v = 100 cos (vt - 45 ) V; i = 20 cos (vt + 15) A. v = 100 cos (vt - 45 ) V; Answer: (a) (A to B), (B to A); (b) (B to A), (A to B); (c) (A to B), (A to B); (d) (B to A), (B to A). 10.2 C
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1
Circuit Variables
1.2
The International System of Units
1.5
The Ideal Basic Circuit Element
1.6
Power and Energy
2
Circuit Elements
2.1
Voltage and Current Sources
2.2
Electrical Resistance (Ohms Law)
2.4
Kirchhoffs Laws
2.5
Analysis of a Circuit Containing Dependent Sources
3
Simple Resistive Circuits
3.2
Resistors in Parallel
3.3
The Voltage-Divider and Current-Divider Circuits
3.4
Voltage Division and Current Division
3.5
Measuring Voltage and Current
3.6
Measuring Resistance The Wheatstone Bridge
3.7
Delta-to-Wye (Pi-to-Tee) Equivalent Circuits
4
Techniques of Circuit Analysis
4.10
Thvenin and Norton Equivalents
4.11
More on Deriving a Thvenin Equivalent
4.12
Maximum Power Transfer
4.2
Introduction to the Node-Voltage Method
4.3
The Node-Voltage Method and Dependent Sources
4.4
The Node-Voltage Method: Some Special Cases
4.5
Introduction to the Mesh-Current Method
4.6
The Mesh-Current Method and Dependent Sources
4.7
The Mesh-Current Method: Some Special Cases
4.8
The Node-Voltage Method Versus the Mesh-Current Method
4.9
Source Transformations
5
The Operational Amplifier
5.2
Terminal Voltages and Currents
5.3
The Inverting-Amplifier Circuit
5.4
The Summing-Amplifier Circuit
5.5
The Noninverting-Amplifier Circuit
5.6
The Difference-Amplifier Circuit
5.7
A More Realistic Model for the Operational Amplifier
6
Inductance, Capacitance, and Mutual Inductance
6.1
The Inductor
6.2
The Capacitor
6.3
Series-Parallel Combinations of Inductance and Capacitance
6.4
Mutual Inductance
7
Response of First-Order RL and RC Circuits
7.1
The Natural Response of an RL Circuit
7.2
The Natural Response of an RC Circuit
7.3
The Step Response of RL and RC Circuits
7.5
Sequential Switching
7.6
Unbounded Response
8
Natural and Step Responses of RLC Circuits
8.1
Introduction to the Natural Response of a Parallel RLC Circuit
8.2
The Forms of the Natural Response of a Parallel RLC Circuit
8.3
The Step Response of a Parallel RLC Circuit
8.4
The Natural and Step Response of a Series RLC Circuit
9
Sinusoidal Steady-State Analysis
9.1
The Transformer
9.11
The Ideal Transformer
9.3
The Phasor
9.4
The Passive Circuit Elements in the Frequency Domain
9.5
Kirchhoffs Laws in the Frequency Domain
9.6
Series, Parallel, and Delta-to-Wye Simplifications The rules for combining impedances i
9.7
Source Transformations and Thvenin-Norton Equivalent Circuits
9.8
The Node-Voltage Method
9.9
The Mesh-Current Method
10
Sinusoidal Steady-State Power Calculations
10.2
Average and Reactive Power
10.3
The rms Value and Power Calculations
10.5
Power Calculations
10.6
Maximum Power Transfer
11
Balanced Three-Phase Circuits
11.3
Analysis of the Wye-Wye Circuit
11.4
Analysis of the Wye-Delta Circuit
11.5
Power Calculations in Balanced Three-Phase Circuits
12
Introduction to the Laplace Transform
12.4
Functional Transforms
12.5
Operational Transforms
12.7
Inverse Transforms
12.9
Initial- and Final-Value Theorems
13
The Laplace Transform in Circuit Analysis
13.3
Applications
13.4
The Transfer Function
13.5
The Transfer Function in Partial Fraction Expansions
13.7
The Transfer Function and the Steady-State Sinusoidal Response
14
Introduction to Frequency Selective Circuits
14.2
Low-Pass Filters
14.3
High-Pass Filters
14.4
Bandpass Filters
14.5
Bandreject Filters
15.1
Active Filter Circuits
15.2
Scaling
15.4
Higher Order Op Amp Filters
15.5
Narrowband Bandpass and Bandreject Filters
16
Fourier Series
16.2
The Fourier Coefficients
16.3
The Effect of Symmetry on the Fourier Coefficients
16.4
An Alternative Trigonometric Form of the Fourier Series
16.5
An Application
16.6
Average-Power Calculations with Periodic Functions
16.8
The Exponential Form of the Fourier Series
16.9
Amplitude and Phase Spectra
17
The Fourier Transform
17.2
The Convergence of the Fourier Integral
17.3
Using Laplace Transforms to Find Fourier Transforms
17.6
Operational Transforms
17.7
Circuit Applications
17.8
Parsevals Theorem
18
Two-Port Circuits
18.2
The Two-Port Parameters
18.3
Analysis of the Terminated Two-Port Circuit
18.4
Interconnected Two-Port Circuits
Textbook Solutions for Electric Circuits
Chapter 10.2 Problem 10.1
Question
For each of the following sets of voltage and current, calculate the real and reactive power in the line between networks A and B in the circuit shown. In each case, state whether the power flow is from A to B or vice versa. Also state whether magnetizing vars are being transferred from A to B or vice versa. a) b) c) d) A B v i i = 20 cos (vt + 120 ) A. v = 100 cos vt V; i = 20 cos (vt - 105 ) A. v = 100 cos (vt - 45 ) V; i = 20 cos (vt + 165 ) A. v = 100 cos (vt - 45 ) V; i = 20 cos (vt + 15) A. v = 100 cos (vt - 45 ) V; Answer: (a) (A to B), (B to A); (b) (B to A), (A to B); (c) (A to B), (A to B); (d) (B to A), (B to A). 10.2 C
Solution
The first step in solving 10.2 problem number 1 trying to solve the problem we have to refer to the textbook question: For each of the following sets of voltage and current, calculate the real and reactive power in the line between networks A and B in the circuit shown. In each case, state whether the power flow is from A to B or vice versa. Also state whether magnetizing vars are being transferred from A to B or vice versa. a) b) c) d) A B v i i = 20 cos (vt + 120 ) A. v = 100 cos vt V; i = 20 cos (vt - 105 ) A. v = 100 cos (vt - 45 ) V; i = 20 cos (vt + 165 ) A. v = 100 cos (vt - 45 ) V; i = 20 cos (vt + 15) A. v = 100 cos (vt - 45 ) V; Answer: (a) (A to B), (B to A); (b) (B to A), (A to B); (c) (A to B), (A to B); (d) (B to A), (B to A). 10.2 C
From the textbook chapter Average and Reactive Power you will find a few key concepts needed to solve this.
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full solution
Title
Electric Circuits 10
Author
James W. Nilsson, Susan Riedel
ISBN
9780133760033
Solved: For each of the following sets of voltage and current, calculate the real and
Chapter 10.2 textbook questions
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Chapter 10: Problem 10 Electric Circuits 10
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Chapter 10: Problem 10 Electric Circuits 10
Compute the power factor and the reactive factor for the network inside the box in Fig. 10.6, whose voltage and current are described in Example 10.1. Hint: Use to calculate the power and reactive factors.
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