![Fundamentals of Electric Circuits](https://www.bartleby.com/isbn_cover_images/9780078028229/9780078028229_largeCoverImage.gif)
Concept explainers
For each of the following cases, find the complex power, the average power, and the reactive power:
- (a) v(t) = 169.7 sin (377t + 45°) V,
i(t) = 5.657 sin (377t) A
- (b) v(t) = 339.4 sin (377t + 90°) V,
i(t) = 5.657 sin (377t + 45°) A
(a)
![Check Mark](/static/check-mark.png)
Find the complex power, average power, and reactive power for the given instantaneous voltage and current.
Answer to Problem 47P
The complex power is
Explanation of Solution
Given data:
The voltage phasor is,
The current phasor is,
Formula used:
Write the expression to find the complex power
Here,
Write the expression for complex power
Here,
Calculation:
From equation (1), the rms value of the voltage is
From equation (2), the rms value of the current is
Substitute
Convert equation (5) from polar form to rectangular form. Therefore,
On comparing equation (4) and (6), the average power
Conclusion:
Thus, the complex power is
(b)
![Check Mark](/static/check-mark.png)
Find the complex power, average power, and reactive power for the given instantaneous voltage and current.
Answer to Problem 47P
The complex power is
Explanation of Solution
Given data:
The voltage phasor,
The current phasor,
Calculation:
From equation (7), the rms value of the voltage is
From equation (8), the rms value of the current is
Substitute
Convert equation (9) from polar form to rectangular form. Therefore,
On comparing equation (4) and (10), the average power
Conclusion:
Thus, the complex power is
(c)
![Check Mark](/static/check-mark.png)
Find the complex power, average power, and reactive power for the given voltage and impedance phasor.
Answer to Problem 47P
The complex power is
Explanation of Solution
Given data:
The voltage phasor,
The impedance phasor,
Formula used:
Write the expression for complex power
Here,
Calculation:
From equation (11),
Substitute
Convert equation (14) from polar form to rectangular form. Therefore,
On comparing equation (4) and (15), the average power
Conclusion:
Thus, the complex power is
(d)
![Check Mark](/static/check-mark.png)
Find the complex power, average power, and reactive power for the given voltage and impedance phasor.
Answer to Problem 47P
The complex power is
Explanation of Solution
Given data:
The current phasor,
The impedance phasor,
Write the expression to find the complex power
Calculation:
From equation (16),
Substitute
Convert equation (19) from polar form to rectangular form. Therefore,
On comparing equation (4) and (20), the average power
Conclusion:
Thus, the complex power is
Want to see more full solutions like this?
Chapter 11 Solutions
Fundamentals of Electric Circuits
- Calculate total energy E∞ and average power P∞ for the following signals. Determine whether theyare energy signals, power signals or neither energy nor power signalsarrow_forwardThe complex power for an ac circuit is given as S=5ej(pi/4) VA. What will be the value of the real power and what will be the value of the reactive power?arrow_forwardThe r.m.s. value of a sinusoidal current of maximum value 95 A is,arrow_forward
- coil of watt meter is connected in series.arrow_forwardThe inductive reactance (XL). be affected by the harmonics of non-sinusoidal .wave all-of-them O could O cannot O will Oarrow_forward2. A series RL circuit has voltage and current equations of e = 141.42 sin 2n30t + 141.42 sin 2n90t volts and i = 9.8 sin (2n30t - 30°) + 5.66 sin (2n90t - 60°) amperes. Determine the inductance L. A. 92.5 mH B. 38.3 mH C. 27.22 mH D. 83.49 mHarrow_forward
- The equation for an alternating current i of frequency 50 Hz and RMS value 70.7 A is given by i = 100√2 sin 314t i = 200 sin 628t i = 50 sin 314t ✓i= 100 sin 314tarrow_forwardCalculate the voltage vo(t) across the capacitor and the current i(t) through the capacitor as shown in figure 02 and determine the leading sinusoid, and calculate the phase difference in degrees.arrow_forwardd) 3-A 500 ohm resistor is connected in series with a coil with a self-inductance of 800 mH and the maximum It is fed by a sinusoidal source with an amplitude of 15 V and a frequency of 15.92 Hz. According to this Which of the following can represent the voltage across the coil? 14.81cos(wt - 9.09) V 2.5cos(wt - 21.2) V 7.20cos(wt - 11.45) V 2.37cos(wt - 81) V 8.5cos(wt - 41.2) V leave blank 3075arrow_forward
- Help me pleasearrow_forwardESSAY: Describe what happens to the power in this RLC series circuit as the capacitance decreases. Explain in general terms why the observed change should occur. Understand the effects of basic electrical components on the average power of the system and the concept of power factor. Differentiate between average power and real power.arrow_forwardThe 60 Hz AC source and 240 V rms voltage provides a power of 5000 VA for a load with a lagging power factor of 0.85. Determine the reactive power in the capacitor and the value of the capacitor that must be connected in parallel with the load to bring the power factor to 0.92 inductivearrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
![Text book image](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780078028229/9780078028229_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134746968/9780134746968_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780078028151/9780078028151_smallCoverImage.gif)