Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 15, Problem 49P
(a)
To determine
Find the convolution integral for the given function
(b)
To determine
Find the convolution integral for the given function
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The MATLAB code is going well but the last part in bandpass, the legend that is supposed to tell the color of both lower and upper-frequency cutoff does not align with each other. As such I need help
My Matlab code:
% Define frequency range for the plot
f = logspace(1, 5, 500); % Frequency range from 10 Hz to 100 kHz
w = 2 * pi * f; % Angular frequency
% Parameters for the filters
R = 1e3; % Resistance in ohms (1 kΩ)
C = 1e-6; % Capacitance in farads (1 μF)
L = 0.1; % Inductance in henries (chosen for proper bandpass response)
% Compute cutoff frequencies
f_cutoff_RC = 1 / (2 * pi * R * C); % RC low-pass/high-pass cutoff
f_resonance = 1 / (2 * pi * sqrt(L * C)); % Resonant frequency of RLC
Q_factor = (1/R) * sqrt(L/C); % Quality factor of the circuit
% Band-pass filter cutoff frequencies
f_lower_cutoff = f_resonance / (sqrt(1 + 1/(4*Q_factor^2)) + 1/(2*Q_factor));
f_upper_cutoff = f_resonance / (sqrt(1 + 1/(4*Q_factor^2)) - 1/(2*Q_factor));
% Define Transfer Functions
H_low =…
1°
⑤
Aa
"Human-written solution required"
2. Using the characteristics of Fig. 6.11, determine ID for the following levels of VGs (with
VDS > VP):
a. VGs = 0V.
b. VGs=-1 V.
c. VGs -1.5 V.
d. VGS
-1.8 V.
e. VGS = -4 V.
f. VGs=-6V.
3. Using the results of problem 2 plot the transfer characteristics of ID vs. VGS-
4. a. Determine Vps for VGs = 0V and Ip = 6 mA using the characteristics of Fig. 6.11.
b. Using the results of part (a), calculate the resistance of the JFET for the region Ip = 0 to
6 mA for VGs =0V.
c. Determine Vps for VGS = -1 V and ID = 3 mA.
d. Using the results of part (c), calculate the resistance of the JFET for the region ID = 0 to
3 mA for VGs -1 V.
e. Determine Vps for VGs = -2 V and ID = 1.5 mA.
f. Using the results of part (e), calculate the resistance of the JFET for the region ID = 0 to
1.5 mA for VGS-2 V.
g. Defining the result of part (b) as ro, determine the resistance for VGs -1 V using
Eq. (6.1) and compare with the results of part (d).
h. Repeat part (g)…
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Chapter 15 Solutions
Fundamentals of Electric Circuits
Ch. 15.2 - Prob. 1PPCh. 15.2 - Prob. 2PPCh. 15.3 - Prob. 3PPCh. 15.3 - Prob. 4PPCh. 15.3 - Prob. 5PPCh. 15.3 - Prob. 6PPCh. 15.3 - Obtain the initial and the final values of...Ch. 15.4 - Prob. 8PPCh. 15.4 - Find f(t) if F(s)=48(s+2)(s+1)(s+3)(s+4)Ch. 15.4 - Obtain g(t) if G(s)=s3+2s+6s(s+1)2(s+3)
Ch. 15.4 - Find g(t) given that G(s)=20(s+1)(s2+4s+13)Ch. 15.5 - Graphically convolve the two functions in Fig....Ch. 15.5 - Given g(t) and f(t) in Fig. 15.20, graphically...Ch. 15.5 - Use convolution to find vo(t) in the circuit of...Ch. 15.6 - Prob. 15PPCh. 15.6 - Prob. 16PPCh. 15 - Prob. 1RQCh. 15 - Prob. 2RQCh. 15 - Prob. 3RQCh. 15 - Prob. 4RQCh. 15 - Prob. 5RQCh. 15 - If F(s) = 1/(s + 2), then f(t) is (a) e2t u(t) (b)...Ch. 15 - Prob. 7RQCh. 15 - Prob. 8RQCh. 15 - Prob. 9RQCh. 15 - Prob. 10RQCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Find F(s) if: (a) ft=6etcosh2t (b) ft=3te2tsinh4t...Ch. 15 - If g(t) = 4e 2t cos 4t, find G(s).Ch. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Design a problem to help other students better...Ch. 15 - Let F(s)=18(s+1)(s+2)(s+3) (a) Use the initial and...Ch. 15 - Determine the initial and final values of f(t), if...Ch. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - Find f(t) for each F(s): (a) 10ss+1s+2s+3 (b)...Ch. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - Prob. 34PCh. 15 - Obtain f(t) for the following transforms: (a)...Ch. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Determine f(t) if: (a)...Ch. 15 - Show that...Ch. 15 - Prob. 41PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Given h(t) = 4e2tu(t) and x(t) = (t) 2e 2tu(t),...Ch. 15 - Given the following functions...Ch. 15 - A system has the transfer function...Ch. 15 - Find f(t) using convolution given that: (a)...Ch. 15 - Prob. 49PCh. 15 - Prob. 50PCh. 15 - Given that v(0) = 5 and dv(0)/dt = 10, solve...Ch. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 55PCh. 15 - Solve for v(t) in the integrodifferential equation...Ch. 15 - Prob. 57PCh. 15 - Given that dvdt+2v+50tv()d=4u(t) with v(0) = 1,...Ch. 15 - Solve the integrodifferential equation...Ch. 15 - Prob. 60P
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- 4. a. Determine VDs for VGS = 0 V and ID = 6 mA using the characteristics of Fig. 6.11. b. Using the results of part (a), calculate the resistance of the JFET for the region ID = 0 to 6 mA for VGS = 0 V. c. Determine VDs for VGS = -1 V and ID = 3 mA. d. Using the results of part (c), calculate the resistance of the JFET for the region ID = 0 to 3 mA for VGS = -1 V. e. Determine VDs for VGS = -2 V and ID = 1.5 mA. f. Using the results of part (e), calculate the resistance of the JFET for the region ID = 0 to 1.5 mA for VGS = -2 V. g. Defining the result of part (b) as ro, determine the resistance for VGS = -1 V using Eq. (6.1) and compare with the results of part (d). h. Repeat part (g) for VGS = -2 V using the same equation, and compare the results with part (f). i. Based on the results of parts (g) and (h), does Eq. (6.1) appear to be a valid approximation?arrow_forwardA. Using D flip-flops, design a logic circuit for the finite-state machine described by the state assigned table in Fig. 1. Present Next State State Output x=0 x=1 Y2Y1 Y2Y1 YY Z 00 00 01 0 01 10 11 888 00 10 0 00 10 1 00 10 1 Fig. 1arrow_forwardAthree phase a.c. distributor AB has: A B C The distance from A to B is 500 m. The distance from A to C is 800 m. The impedance of each section is (6+j 8) /km. The voltage at the far end is maintained at 250 volt. Find: sending voltage, sending current, supply power factor and 80A 60 A total voltage drop. 0.8 lag. P.f 0.6 lead. p.farrow_forward
- engineering electromagnetics Subjectarrow_forwarda ADI ADI b Co ADDS D Fig.(2) 2-For resistive load, measure le output voltage by using oscilloscope; then sketch this wave. 3- Measure the average values ::f V₁ and IL: 4- Repeat steps 2 & 3 but for PL load.arrow_forwardDetermine the type of media In a certain medium with µ = o, & = 40 H = 12ely sin(x x 10% - By) a, A/m A plane wave propagating through a medium with ɛ, = 8, μ, = 2 has E = 0.5 3sin(10°t - Bz) a, V/m. Determine In a certain medium - E = 10 cos (2 x 10't ẞx)(a, + a.) V/m If μ == 50μo, & = 2ɛ, and o = 0, In a medium, -0.05x E=16e sin (2 x 10% -2x) a₂ V/marrow_forward
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- The magnetic field component of an EM wave propagating through a nonmagnetic medium (po) is = Determine: H=25 sin (2 x 10't + 6x) a, mA/m (a) The direction of wave propagation. (b) The permittivity of the medium. (c) The electric field intensity.arrow_forwardIn a certain medium with μo, & = H 12e 480 y sin (x x 10% By) a, A/m find: (a) the wave period T, (b) the wavelength A, (c) the electric field E, (d) the phase difference between E and H.arrow_forwardA plane wave propagating through a medium with ɛ, = 8, μ, 2 has E = 0.5 e-3 sin(108tẞz) a, V/m. Determine (a) B (b) The loss tangent (c) Wave impedance (d) Wave velocity (e) H field Answer: (a) 1.374 rad/m, (b) 0.5154, (c) 177.72 /13.63° 2, (d) 7.278 × 107 m/s, (e) 2.817e3sin(108 - Bz - 13.63°)a, mA/m.arrow_forward
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