
(a)
Find the average power delivered to each load, the apparent power supplied by the source, and the power factor of the combined loads for the circuit in Figure 11.43 in the textbook.
(a)

Answer to Problem 35E
The average power delivered to
Explanation of Solution
Given data:
Refer to Figure 11.43 in the textbook for the given circuit.
Formula used:
Write the expression for average power delivered to load as follows:
Here,
Write the expression for rms current in the circuit as follows:
Here,
Write the expression for total impedance in the given circuit as follows:
Write the expression for rms voltage across load as follows:
Write the expression for complex power supplied by the source as follows:
Write the expression for power factor of the combined loads as follows:
Calculation:
From Equation (3), substitute
Substitute
Simplify the expression as follows:
Modify the expression in Equation (4) for the voltage across the load
Substitute
Modify the expression in Equation (1) for the average power delivered to the load
Substitute 48.041 V for
Modify the expression in Equation (4) for the voltage across the load
Substitute
Modify the expression in Equation (1) for the average power delivered to the load
Substitute 75.493 V for
Substitute
Find the apparent power supplied by the source from the complex power as follows:
Substitute
If the imaginary part of the complex power (reactive power) is positive value, then the load has lagging power factor. If the imaginary part is negative value, then the load has leading power factor.
As the imaginary part of the given complex power is positive value, the power factor is lagging power factor.
Conclusion:
Thus, the average power delivered to
(b)
Find the average power delivered to each load, the apparent power supplied by the source, and the power factor of the combined loads for the circuit in Figure 11.43 in the textbook.
(b)

Answer to Problem 35E
The average power delivered to
Explanation of Solution
Given data:
Calculation:
Substitute
Substitute
Substitute 29.5202 V for
Substitute
Substitute 89.7812 V for
Substitute
Find the apparent power supplied by the source from the complex power as follows:
Substitute
As the imaginary part of the given complex power is negative value, the power factor is leading power factor.
Conclusion:
Thus, the average power delivered to
(c)
Find the average power delivered to each load, the apparent power supplied by the source, and the power factor of the combined loads for the circuit in Figure 11.43 in the textbook.
(c)

Answer to Problem 35E
The average power delivered to
Explanation of Solution
Given data:
Calculation:
Substitute
Substitute
Substitute 69 V for
Substitute
Substitute 51.75 V for
Substitute
Find the apparent power supplied by the source from the complex power as follows:
Substitute
As the imaginary part of the given complex power is positive value, the power factor is lagging power factor.
Conclusion:
Thus, the average power delivered to
Want to see more full solutions like this?
Chapter 11 Solutions
ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
- Find a value of RL that can be connected to terminals a-b for maximum power transfer. Then, calculate maximum power that can be delivered to load RL.arrow_forwardA modulating signal f(t) is bandlimited to 5 kHz is sampled at a rate of 15000 samples/sec. The samples are quantized into 128 levels. Calculate the transmission bandwidth if the following modulation types are used for signal transmission: 4- ASK 5- 8-PSK 6- FSK with Af = 25 kHzarrow_forwardA modulating signal f(t) is bandlimited to 5 kHz is sampled at a rate of 15000 samples/sec. The samples are quantized into 128 levels. Calculate the transmission bandwidth if the following modulation types are used for signal transmission: 4- ASK 5- 8-PSK 6- FSK with Af = 25 kHzarrow_forward
- Don't use ai to answer I will report you answerarrow_forwardjan G(f) f Sketch the spectrum of g(t), which has a maximum frequency of 5 kHz, if it is sampled at the following sampling frequencies: 7 kHz, 10 kHz and 15 kHz. Indicate if and how the signal can be recovered at each sampling frequency.arrow_forwardDon't use ai to answer i will report your answerarrow_forward
- A single tone is modulated using FM transmitter. The SNR, at the input of the demodulator 20 dB. If the maximum frequency of the modulating signal is 4 kHz, and the maximum equency deviation is 12 kHz, find the SNR, and the bandwidth (using Carson rule) at the ollowing conditions: . For the given values of fm and Af. !. If the amplitude of the modulating signal is increased by 80%. 3. If the amplitude of the modulating signal is decreased by 50%, and frequency of modulating signal is increased by 50%.arrow_forwardThe circuit shown below on the left has the following parameters: V₁ = 5 V. R₁ = 40, R₂ = 40, α = 0.1. This circuit can be replaced by an equivalent circuit shown below on the right such that the voltage and current received by an arbitrary load resistor RL, are identical when connected to either circuits. Determine the value of the resistor R (in ) in the equivalent circuit. R₁ Rx R2 R₁ Vx R₁ Vi απ. barrow_forward1. Consider the following a unity feedback control system. R(s) + E(s) 500(s+2)(s+5)(s+6) s(s+8)(s+10)(s+12) -Y(s) Find the followings: a) Type of the system b) Static position error constant Kp, Static velocity error constant Ry and Static acceleration error constant Ka c) Find the steady-state error of the system for (i) step input 1(t), (ii) ramp input t 1(t), (iii) parabolic input t² 1(t). 2. Repeat the above problem for the following system. R(s) + E(s) 500(s + 2)(s + 5) (s+8)(s+ 10)(s+12) Y(s) 3. Repeat the above problem for the following system. R(s) + E(s) 500(s+2)(s+4)(s+5)(s+6)(s+7) s²(s+8)(s+10)(s+12) Y(s)arrow_forward
- 4. Consider a unity (negative) feedback control system whose open-loop transfer function is given by the following. 2 G(s) = s³ (s + 2) Find the steady-state error of the system for each of the following inputs. = a) u(t) (t²+8t+5) 1(t) b) u(t) = 3t³ 1(t) c) u(t) (t+5t² - 1) 1(t) =arrow_forward1 2. For the following closed-loop system, G(s) = and H(s) = ½ (s+4)(s+6) a. Please draw the root locus by hand and mark the root locus with arrows. Calculate the origin and angle for asymptotes. b. Use Matlab to draw the root locus to verify your sketch. Input R(s) Output C(s) KG(s) H(s)arrow_forward5. Consider following feedback system. R(s) + 100 S+4 +1 Find the steady-state error for (i) step input and (ii) ramp input.arrow_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,





