Page 114 - Numerical Analysis Using MATLAB and Excel

Exercises

3.10 Exercises

1. Perform the following operations, and check your answers with MATLAB.

)
(
)
(
)
(
)
)
(
)
a. 2 – j4 + ( 3 + j4 ) b. – 3 + j5 – ( 1 + j6 ) c. 2 – j3 – ( 2 – j3 ∗ d. 3 – j2 ⋅ ( 3j2 ∗
–
)
e. 2 –( j4 ⋅ ( 3 + j5 ) f. 3 –( j2 ⋅ – ( 2 j3 ) g. 2 –( j4 ⋅ ) ( 3 + j5 ⋅ ) ( 3j2 ⋅ – ) – ( 2 – j3 )
)
–
2. Perform the following operations, and check your answers with MATLAB.
22 + j6 8 + j6 120 ( 3 – j2 )
a. ----------------- b. --------------- c. ----------------- d. ---------------------
3 + j2 – 3 – j 4 – j10 ( 3 – j2 ∗
)
3. Any phasor can be expressed as
A
)
A a + jb = r cos θ + jsin θ = re jθ
(=
⁄
n
n
Using the identities re ) ( jθ = r e jnθ or re jθ = n re jθ n , compute:
4
6
a. 12 + j5 b. 100 2 1 –( j )
Check your answers with MATLAB
4. Compute the exponential and polar forms of
9 + j5 – 8 + j3
a. ------------------ b. ------------------
– 4 – j2 – 2 + j4
Check your answers with MATLAB.
5. Compute the rectangular form of

430° e j60°
∠
a. ---------------------- b. -------------------
∠
5 – 150° – 2e – j30°
Check your answers with MATLAB

–
9j4
6. Find the real and imaginary components of ------------------
– 5 + jx

Numerical Analysis Using MATLAB® and Excel®, Third Edition 3−27
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