
Concept explainers
(a)
Find the value of the cutoff frequency in hertz for the RL filter shown in given figure.
(a)

Answer to Problem 1P
The value of the cutoff frequency
Explanation of Solution
Given data:
Refer to given figure in the textbook.
Formula used:
Write the expression to calculate the angular cutoff frequency.
Here,
Write the expression to calculate the cutoff frequency of the RL low-pass filter.
Here,
Calculation:
The given filter circuit is drawn as Figure 1.
Substitute
Simplify the above equation to find
Substitute
Rearrange the above equation to find
Conclusion:
Thus, the value of the cutoff frequency
(b)
Find the value of the transfer function
(b)

Answer to Problem 1P
The value of the transfer function
Explanation of Solution
Formula used:
Write the expression to calculate the impedance of the passive elements resistor and inductor.
Calculation:
The impedance circuit of the Figure 1 is drawn as Figure 2 using the equations (3) and (4).
Apply voltage division rule on Figure 2 to find
Rearrange the above equation to find
Substitute the equation (2) in above equation to find
Write the expression to calculate the transfer function of the circuit in Figure 2.
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the value of the transfer function
(c)
Find the steady state expression for the output voltage
(c)

Answer to Problem 1P
The steady state expression for the output voltage
Explanation of Solution
Given data:
The input voltage is,
Calculation:
From part (b),
Rearrange the above equation to find
Substitute
Substitute
Substitute
Simplify the above equation to find
Substitute
Substitute
Simplify the above equation to find
Substitute
Substitute
Simplify the above equation to find
Conclusion:
Thus, the steady state expression for the output voltage
Want to see more full solutions like this?
Chapter 14 Solutions
Electric Circuits. (11th Edition)
- A 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_forwardDon't use ai to answer I will report you answerarrow_forward
- jan 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_forwardA 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_forward
- The 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_forward4. 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_forward
- 1 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_forward6. Find (i) settling time (Ts), (ii) rise time (Tr), (iii) peak time (Tp), and (iv) percent overshoot (% OS) for each of the following systems whose transfer functions are given by: a) H(s) = 5 s²+12s+20 5 b) H(s) = s²+6s+25 c) H(s) = (s+2) (s²+12s+20) (s²+4s+13) Use dominant pole approximation if needed.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,





