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The document is a homework assignment for an electronic circuits course that is due on February 25th. It contains two problems: 1) Writing 8 complex numbers in z = a + jb form. 2) Writing 8 complex numbers in polar form (z = re^{jθ}) and plotting parts 6, 7, and 8 in the complex plane. 3) Writing 4 expressions in z = a + jb form by performing operations on complex numbers in polar and Cartesian forms.

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0% found this document useful (0 votes)
147 views1 page

hw5 PDF

The document is a homework assignment for an electronic circuits course that is due on February 25th. It contains two problems: 1) Writing 8 complex numbers in z = a + jb form. 2) Writing 8 complex numbers in polar form (z = re^{jθ}) and plotting parts 6, 7, and 8 in the complex plane. 3) Writing 4 expressions in z = a + jb form by performing operations on complex numbers in polar and Cartesian forms.

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saumj
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We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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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

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)

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