Calculate the 5th roots of the complex number z = −16+ j16 √//3. 1. What is the magnitude r of all the roots? 2. Assuming the phase angles between 0 and 27. The roots are in the form jok Wk = re ▪ For k = 0, what is the the phase angle theta0 of wo in rad. ▪ For k = 1, what is the the phase angle thetal of w₁ in rad. For k = 2, what is the the phase angle theta2 of w₂ in rad. ▪ For k = 3, what is the the phase angle theta3 of w3 in rad. ▪ For k = 4, what is the the phase angle theta4 of w4 in rad.
Calculate the 5th roots of the complex number z = −16+ j16 √//3. 1. What is the magnitude r of all the roots? 2. Assuming the phase angles between 0 and 27. The roots are in the form jok Wk = re ▪ For k = 0, what is the the phase angle theta0 of wo in rad. ▪ For k = 1, what is the the phase angle thetal of w₁ in rad. For k = 2, what is the the phase angle theta2 of w₂ in rad. ▪ For k = 3, what is the the phase angle theta3 of w3 in rad. ▪ For k = 4, what is the the phase angle theta4 of w4 in rad.
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![Calculate the 5th roots of the complex number z = -16 + j16 √√3.
1. What is the magnitude r of all the roots?
2. Assuming the phase angles between 0 and 2. The roots are in the form
I
jok
Wk = re
For k = 0, what is the the phase angle theta0 of wo in rad.
▪ For k = 1, what is the the phase angle thetal of w₁ in rad.
▪ For k = 2, what is the the phase angle theta2 of w₂ in rad.
▪ For k = 3, what is the the phase angle theta3 of w3 in rad.
▪ For k = 4, what is the the phase angle theta4 of w4 in rad.
Script
1|r=[2];
2 theta0=[(2*pi)/15];
3 theta1=[(8*pi)/15];
4 theta2=[(14*pi)/15];
5 theta3=[(4*pi)/3];
6 theta4=[(26*pi)/15];
Save
C Reset
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Transcribed Image Text:Calculate the 5th roots of the complex number z = -16 + j16 √√3.
1. What is the magnitude r of all the roots?
2. Assuming the phase angles between 0 and 2. The roots are in the form
I
jok
Wk = re
For k = 0, what is the the phase angle theta0 of wo in rad.
▪ For k = 1, what is the the phase angle thetal of w₁ in rad.
▪ For k = 2, what is the the phase angle theta2 of w₂ in rad.
▪ For k = 3, what is the the phase angle theta3 of w3 in rad.
▪ For k = 4, what is the the phase angle theta4 of w4 in rad.
Script
1|r=[2];
2 theta0=[(2*pi)/15];
3 theta1=[(8*pi)/15];
4 theta2=[(14*pi)/15];
5 theta3=[(4*pi)/3];
6 theta4=[(26*pi)/15];
Save
C Reset
MATLAB Documentation
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