Question

1. Assume complex number in a polar representation z = 1.5 * e ^ (-j * 45^o). Plot this number as a vector on the complex plane (make sure to input the phase angle in MatLab in radians).

2. Determine the magnitude of the complex number z = 3 – j * 4 using the complex conjugate notation and determine its phase angle.

3. Convert the complex number z = 2.5 * e ^ (j * 60^o) to the rectangular notation using the relationship between real and imaginary parts and magnitude and phase angle.

Complete in MATLAB and plot in MATLAB

Answer 1

% The task has been performed using spfirst toolbox
% Plot complex number as vector in MATLAB
z1=1.5*exp(-1j*pi/4);
zvect(z1);
grid on
xlabel('Real-axis'); % Label the x_axis
ylabel('Imaginary-axis');% Label the y_axis
title('Complex number plotted in complex plane with a unit circle');
hold on;

% Determine angle and magnitude of a complex number
z2 = 3-4j;
mag=abs(z2);
ang=angle(z2)/pi*180; % in degree
disp('Magnitude');
disp(mag);
disp('Angle');
disp(ang);

% Convert polar form of a complex number to recctangular form
z3 = 2.5*exp(1j*pi/3);
z4 = abs(z3)*cos(angle(z3))+ 1j*abs(z3)*sin(angle(z3));
disp('Rect Form:');
disp(z4);

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