Answered Essay: In the circuit shown on the right, R_1 = 3 R_2 and V_in = 5 cos (omega t + 30 degree) + 2 cos (3 omega t + 60 degree) +

preferable Matlab 2016 or 2017 versions.

Use MATLAB to solve the following three problems,; submit both your codes and results. Problem 1 (40 points): In the circuit shown on the right, Ri = 3 R2 and in 5cos(t 30)+2 cos(3t 60)+2 V Ri where ω = 100 rad/sec. Write a MATLAB program to perform the a) Create an array for Vn for 0.5 sec using 1000 samples per second b) Create a sequence for Vout from Vin using voltage division and plot c) Compute the RMS values of Vout and Vin from these arrays [Hint: (sps) and plot it. it in the same window. Insert a legend and axis labels. Use a discrete-time version of Eq. (12) Problem 2 (30 points): For the circuit and input waveform used in Exercises 2.3 and 2.4, calculate and plot the capacitors theoretic charging and discharging voltages [Hint: Use Eq. (7) and (8);pick a suitable value for the sps] Problem 3 (30 points): For the circuit used in Exercise 3.4, generate a Bode plot theoretically (the gain response only); this should look similar to the upper plot in Figure 15 [Hint: Use Eq. (13) and (15). Use semilogx so that the X-axis of your plot is in the log scale)

In the circuit shown on the right, R_1 = 3 R_2 and V_in = 5 cos (omega t + 30 degree) + 2 cos (3 omega t + 60 degree) + 2 V where omega = 100 rad/sec. Write a MATLAB program to perform the following: a) Create an array for V_in for 0.5 sec using 1000 samples per second (sps) and plot it. b) Create a sequence for V_out from V_in using voltage division and plot it in the same window. Insert a legend and axis labels. c) Compute the RMS values of V_out and V_in from these arrays. For the circuit and input waveform used in Exercises 2.3 and 2.4, calculate and plot the capacitor’s theoretic charging and discharging voltages. For the circuit used in Exercise 3.4, generate a Bode plot theoretically (the gain response only): this should look similar to the upper plot in Figure 15.

Expert Answer

 

w=100;
Vin=@(t)5*cos(w*t+30*pi/180)+2*cos(2*w*t+60*pi/180)+2;
t=linspace(0,0.5,500);
plot(t,Vin(t));
Vout=Vin(t)*.25;
hold on
plot(t,Vout)
xlabel(‘Time(s)’)
ylabel(‘Voltage(V)’)
legend(‘V_i_n’,’V_o_u_t’)
VinRms=Vin(t)*1/sqrt(2);%provide equation 12
VoutRms=Vout*1/sqrt(2);

for the next 2 questions provide the exercises ,figures and equations used in the question

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