Homework Answers
By using KVL and Y parameters equations we get the solution for first problem.
By using the Exponential Fourier Series analysis equation we get the solution for second problem.
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Question 3) Obtain the Y parameters for the following T-circuit in Fig. 3. 62 182 €122...
Question 3 Fig. 3 In the circuit shown in Fig. 3, let R, = 122, R...
Question 3 Fig. 3 In the circuit shown in Fig. 3, let R, = 122, R = 2 ks2, R, = 4 Rs = 4k92, and V=4V. Determine V. 2, R, = 2 k2,
Page 3 of 3 (5) The periodic square-wave voltage seen in Fig. 5a is applied to...
Page 3 of 3 (5) The periodic square-wave voltage seen in Fig. 5a is applied to the circuit shown in Fig. 5b. (a) Determine the Fourier series of the periodic square-wave in Fig.5a. (b) Derive the steady-state voltage voC) as a response to the first two nonzero terms in the Fourier series that represents the v,) (20 points) v(t) 10% H 102 0 123 t (sec) -2 1 Fig. 5a Fig. 5b
Q3. Solve for vo(t) in the circuit of Fig. 3 using the Superposition 62 2H 12...
Q3. Solve for vo(t) in the circuit of Fig. 3 using the Superposition 62 2H 12 cos 31 V + 4 sin 21 A 10 V Solution:
solve 2.40 a,b,c, e using Fourier series. 2.40 part a,b,c,e 2.40 Consider the continuous-time signals depicted in Fig. P2.40. Evaluate the following convolution integrals: (a) m(t) x(t) y(t) (...
solve 2.40 a,b,c, e using Fourier series.
2.40 part a,b,c,e 2.40 Consider the continuous-time signals depicted in Fig. P2.40. Evaluate the following convolution integrals: (a) m(t) x(t) y(t) (b) m(t)x(t)z(t) (c) m(t) x(t) ft) (d) m(t) x(t) a(t) (e) m(t)y(t) z(t) (f) m(t) -y(t) w(t) (g) m(t) y(t)g(t) (h) m(t)y(t) c(t) (i) m(t) z(t) f(t) (j) m(t) z(t) g(t) (k) m(t) z(t)b(t) (1) m(t) w(t) g(t) (m) m(t) w(t) a(t) (n) m(t) f(t) g(t (o) m(t) fo) . do) (p)...
Given the waveform find the spectrum of w(t)-AX П () sin agt by using the multiplication theorem as discussed in Example 2-10 Question 9 135 marks] Question 10 Given w(t) 5+12 coswot, where fo 10...
Given the waveform find the spectrum of w(t)-AX П () sin agt by using the multiplication theorem as discussed in Example 2-10 Question 9 135 marks] Question 10 Given w(t) 5+12 coswot, where fo 10 Hz, find [18 marks] a) Rw(r). [17 marks] Question 11 Find expressions for the complex Fourier series coefficients that represent the waveform shown in figure below x(t) 20 135 marks)
Given the waveform find the spectrum of w(t)-AX П () sin agt by using the...
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l...
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1
4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
a = any constant x(t) 2a a 0 0 4 5 -a Fig. 3 A periodical...
a = any constant
x(t) 2a a 0 0 4 5 -a Fig. 3 A periodical signal 1) (20 pts.] Find the Fourier series representation of the signal shown in Fig. 3. 2) [10 pts.] Find the Fourier transform of x(t) = e-jat [u(t + a) = u(t - a)] Using the integral definition. 3) [10 pts.] Find the Fourier transform of x(t) = cos(at)[u(t+a) – u(t - a)] Using only the Fourier the transform table and properties
For the circuit in Fig. 3.51, obtain u, and v2. 3.2 3.4 Given the circuit in...
For the circuit in Fig. 3.51, obtain u, and v2. 3.2 3.4 Given the circuit in Fig. 3.53, calculate the currents 4 through i 20 ww ovpit 6A 14 10Ω . 4 0 50 3 A 100 40 2 20 Q 40 Q 2 A 6A Figure 3.53 Figure 3.51 For Prob. 3.2 For Prob. 3.4. ww ww-
Question 3 Please: Problem 1 is referenced below 3. Repeat problem 1 if the output y(t)...
Question 3 Please: Problem 1 is referenced below
3. Repeat problem 1 if the output y(t) is the voltage across the resistor instead of across the capacitor and the input is as shown in Figure 3 (you can use MATLAB to find the inverse Fourier Transform). [7 points] x(1) 0.5 Figure 3 1. For the circuit shown in Figure 1, find y(t) if the input is x(t) = 5 + 7 cos(10 t) + 7sin(1000t) co y()= vc) X(t)= v(...
1) find the power of w(t) 2) find the complex fourier series of coefficient of w(t)...
1) find the power of w(t)
2) find the complex fourier series of coefficient of
w(t)
2. (10 points) Consider the waveform shown below: w(t) 2 w t -4 -2 0 2
Question 3 Fig. 3 In the circuit shown in Fig. 3, let R, = 122, R = 2 ks2, R, = 4 Rs = 4k92, and V=4V. Determine V. 2, R, = 2 k2,
Page 3 of 3 (5) The periodic square-wave voltage seen in Fig. 5a is applied to the circuit shown in Fig. 5b. (a) Determine the Fourier series of the periodic square-wave in Fig.5a. (b) Derive the steady-state voltage voC) as a response to the first two nonzero terms in the Fourier series that represents the v,) (20 points) v(t) 10% H 102 0 123 t (sec) -2 1 Fig. 5a Fig. 5b
Q3. Solve for vo(t) in the circuit of Fig. 3 using the Superposition 62 2H 12 cos 31 V + 4 sin 21 A 10 V Solution:
solve 2.40 a,b,c, e using Fourier series.
2.40 part a,b,c,e 2.40 Consider the continuous-time signals depicted in Fig. P2.40. Evaluate the following convolution integrals: (a) m(t) x(t) y(t) (b) m(t)x(t)z(t) (c) m(t) x(t) ft) (d) m(t) x(t) a(t) (e) m(t)y(t) z(t) (f) m(t) -y(t) w(t) (g) m(t) y(t)g(t) (h) m(t)y(t) c(t) (i) m(t) z(t) f(t) (j) m(t) z(t) g(t) (k) m(t) z(t)b(t) (1) m(t) w(t) g(t) (m) m(t) w(t) a(t) (n) m(t) f(t) g(t (o) m(t) fo) . do) (p)...
Given the waveform find the spectrum of w(t)-AX П () sin agt by using the multiplication theorem as discussed in Example 2-10 Question 9 135 marks] Question 10 Given w(t) 5+12 coswot, where fo 10 Hz, find [18 marks] a) Rw(r). [17 marks] Question 11 Find expressions for the complex Fourier series coefficients that represent the waveform shown in figure below x(t) 20 135 marks)
Given the waveform find the spectrum of w(t)-AX П () sin agt by using the...
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1
4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
a = any constant
x(t) 2a a 0 0 4 5 -a Fig. 3 A periodical signal 1) (20 pts.] Find the Fourier series representation of the signal shown in Fig. 3. 2) [10 pts.] Find the Fourier transform of x(t) = e-jat [u(t + a) = u(t - a)] Using the integral definition. 3) [10 pts.] Find the Fourier transform of x(t) = cos(at)[u(t+a) – u(t - a)] Using only the Fourier the transform table and properties
For the circuit in Fig. 3.51, obtain u, and v2. 3.2 3.4 Given the circuit in Fig. 3.53, calculate the currents 4 through i 20 ww ovpit 6A 14 10Ω . 4 0 50 3 A 100 40 2 20 Q 40 Q 2 A 6A Figure 3.53 Figure 3.51 For Prob. 3.2 For Prob. 3.4. ww ww-
Question 3 Please: Problem 1 is referenced below
3. Repeat problem 1 if the output y(t) is the voltage across the resistor instead of across the capacitor and the input is as shown in Figure 3 (you can use MATLAB to find the inverse Fourier Transform). [7 points] x(1) 0.5 Figure 3 1. For the circuit shown in Figure 1, find y(t) if the input is x(t) = 5 + 7 cos(10 t) + 7sin(1000t) co y()= vc) X(t)= v(...
1) find the power of w(t)
2) find the complex fourier series of coefficient of
w(t)
2. (10 points) Consider the waveform shown below: w(t) 2 w t -4 -2 0 2
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