Problem 4 A complex number (w) is given as a function of the variable w as...
Assume complex number in a polar representation z = 1.5 * e ^ (-j * 45o). Plot this number as a vector on the complex plane (make sure to input the phase angle in MatLab in radians). Determine the magnitude of the complex number z = 3 – j * 4 using the complex conjugate notation and determine its phase angle. Convert the complex number z = 2.5 * e ^ (j * 60o) to the rectangular notation using the...
Express the complex number z= in polar form เรเเ uLliuus. ru eaa. yusuun, suuw au wurx eauug to an answer and simpiny as mucn as reasonably 1. Express the complex number 7-4i in polar form. Limit its phase to the interval [0, 2m) in radians. 2. A particular complex number z satisfles the eqio z+ 1 Solve this equation and express your answer in the rectangular form a +iy, where z and y are respec tively the real and imaginary...
For the complex number given as: z = a + bi / c+di where i = √−1 is the imaginary unit. The parameters are defined as a = √2, b = 0, c = 0.5 and d = −0.5. (a) Find the real and the imaginary parts of z, and then draw the Argand dia- gram. (Hint: Use the conjugate of the denominator.) 2.5 (b) Based on the Argand diagram, find the distance r of the complex number z from...
2 Problem 2: Let z = a + jb be a complex number. (In this course, we use j instead of the more common notation i for the imaginary unit.) Write z as z=rel and determine the magnitude and phase of z in terms of its real and imaginary parts. (10 points)
3. Perform the following complex number calculations (Note: Electrical engineers use j Express your answer in rectangular and polar format (3 +j4) + (4-J2)- (3 +j4)-(4-J2)- (3 +/4) * (4-y2) = (3 +j4)/ (4-j2)- instead of i for the imaginary component) (rectangular) (rectangular) (rectangular) (rectangular) (polar) (polar) (polar) (polar)
complex numbers son a) Express Z as a complex number in rectangular form. Z = (5 + 12j).(12 + 5j). e 10 b) Express Z as a complex number in polar form. 2+2+2245° 2=2-2j c) Solve for R and L, where R and L are both real numbers: 200296 + 100Li 102360R
Consider the following C struct that represents a complex number. struct complex { double real; double imaginary; }; (a) [20 points/5 points each] Change this struct into a class. Make the member variables private, and add the following to the class: A default constructor that initializes the real and imaginary parts to 0. A constructor that allows initialization of both real and imaginary parts to any double value. A public member function that returns the magnitude of the complex number....
>> 4+ j*3 % or you can type 4+i*3 is the complex number with real part 4 and imaginary part 3. Explore the functions abs and angle to plot the magnitude and phase of following complex valued function. Comment, on output of the phase when using the unwrap function. Can you please include comments to help me understand what that line of code is doing. t) = t exp (-4
The graph of a function is given below. Use the graph to predict the number of real zeros and the number of imaginary zeros. There is/are real zero(s) There is/are complex zero(s). 4 -10 3-8 - 2 2 4 yox.x2 -0
3. Find the polar form of each given complex number and sketch its position in the complex plane. a) 2-4 b) z 4i c) 2-1-i