ECE 205: Electronic Circuits
Homework 5 (Due: Wednesday, Feb 25, 5:00 PM )
NOTE: Please turn in the HW in the HW dropbox on third floor.
Problem 1
Write the following in z = a + jb form,
1. z = 5ejπ
jπ
2. z = 5e 2
√ 2π
3. z = 2e−j 3
√ π
4. z = 2ej 4
√ −π
5. z = 2ej 4
√ 3π
6. z = 2ej 4
√ 5π
7. z = 2ej 4
√ j3π √ j3π
8. z = 2e− 4 − 2e 4
Problem 2
Write the following in the polar form, i.e in the form z = rejθ . Plot parts 6,7,8 in the complex
plane.
1. j
2. −1
3. 4 + 5j
4. 5 + 4j
5. (2 + 3j)
6. (3 − 2j)
7. (−3 + 2j)
8. (−3 − 2j)
Problem 3
Write the following in z = a + jb form,
5+4j
1. 4+5j
(5+4j)(4+5j)
2. (2+3j)(3−2j)
(1+j)2
3. (3−2j)
4. (2 + 3j)