Appendix - Introduction to Biomedical Engineering - page 1184

EXAMPLE PROBLEM A.2
Use MATLAB to determine z 3 ¼ z 1

z

if z 1 ¼ 3 þ j 2 and z 2 ¼ 2 j .

2

Solution
In MATLAB we write
>> z1 ¼ 3 þ j * 2

z1 3.0000

þ 2.0000i

>> z2 ¼ 2-j

z2 2.0000

1.0000i

>> z3 ¼ z1/z2

z3 0.8000

þ 1.4000i

EXAMPLE PROBLEM A.3
Evaluate

e j 0:4887

z ¼ (60 þ j 30 Þþ 100

Solution
To evaluate , we use the following MATLAB commands, mixing the rectangular and polar

forms of a complex number.
>>

z

z ¼ 60 þ j * 30 þ 100 * exp( j * 0.4887)

z ¼ 1.4829e

þ 002 1.6948e þ 001i

EXAMPLE PROBLEM A.4
Evaluate the magnitude and angle of the following complex number:
z ¼

3

(5 j 4 Þ

Solution
>> z ¼ (5 j * 4) ∧ 3

z ¼

1.1500e þ 002 2.3600e þ 002i

>> r ¼ abs(z)

r ¼ 262.5281

>> theta ¼ angle(z)

theta ¼

2.0242