Page 113 - Numerical Analysis Using MATLAB and Excel

Chapter 3 Sinusoids and Phasors

• To multiply two phasors in exponential (or polar) form, we multiply the magnitudes and we
add the phase angles, that is, if
∠
∠
A = M θ and B = N φ
then,
jθ jφ j θ ( φ + )
AB = MN ( θ∠ φ + ) = Me Ne = MNe

• To divide one phasor by another when both are expressed in exponential or polar form, we
divide the magnitude of the dividend by the magnitude of the divisor, and we subtract the
phase angle of the divisor from the phase angle of the dividend, that is, if

∠
∠
A = M θ and B = N φ
then,
jθ
A M Me M j θ ( φ – )
---- = ----- ( θ ∠ φ – ) = ------------- = ----e
B N jφ N
Ne

3−26 Numerical Analysis Using MATLAB® and Excel®, Third Edition
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