1. Write a MATLAB script named capacitor_impedance to compute and plot the magni

Question

1. Write a MATLAB script named capacitor_impedance to compute and plot the magnitude of the impedance for a realistic capacitor (impedance is used for AC signals and is analogous to resistance but it is a function of frequency). A realistic capacitor, due to the materials used and method of construction, has some resistance and inductance so at high frequencies the the impedance deviates from the ideal value. The script wil prompt the user to enter the capacitance value (C), series inductance (L), and series resistance (R). It then computes the magnitude of the impedance according to the formula magnitude-R2 + 2 ? f L- 2xfC where f is the frequency, and plots it using logarithmic axes for both frequency and magnitude. The frequency range should be from 100 kHz to 1 GHz. (Hint: loglog() and logspace) might be useful.) Label the x-axis "Frequency (Hz)", the y-axis "Magnitude (Ohms)" and title the plot "Impedance of a Realistic Capacitor". Assume that the inputs to the script are valid; it is not necessary to check for invalid inputs. Include a brief (one- or two-line) comment at the beginning of the script. Given input values C-10 nF , L-2 nH , and R-30 ms2 the plot should be similar to the sketch shown here.

Explanation / Answer

clear all;

clc;

prompt='Enter the capacitance value';

C=input(prompt); prompt='Enter the Series inductance value';

L=input(prompt);

prompt='Enter the Resistance value';

R=input(prompt);

for f =100000:10000:1000000000

magnitude=sqrt(R^2+(2*pi*f*L-(1/(2*pi*f*C)))^2);

disp(f);

disp(magnitude);

loglog(f,magnitude,'-s')

grid on

hold on

end

title('Impendance of Realistic Capacitor')

xlabel('Frequency(Hz)') % x-axis label

ylabel('Magnitude(Ohms)')

hold off

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.