Working on a circuits problem. How do you multiply/divide currents in these forms
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Working on a circuits problem. How do you multiply/divide currents in these forms

[From: ] [author: ] [Date: 11-12-08] [Hit: ]
B is the imaginary part, M is the magnitude, and W is the angle in radians.Division is a little trickier.To compute (A + jB)/(C +jD) multiply numerator and denominator by the complex conjugate (C - jD).The denominator then becomes a simple real scalar,......
One form is rectangular form (P+Qj) and the other is in magnitude (Mag@angle). How do I multiply and divide currents in these forms?

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Complex numbers can be written either in Cartesian form (A + jB), or polar form M exp(jW), where 'A' is the real part, 'B' is the imaginary part, 'M' is the magnitude, and 'W' is the angle in radians.

Cartesian forms are multiplied (A + jB)(C +jD) = (AC-BD) + j(AD+BC)

Division is a little trickier. To compute (A + jB)/(C +jD) multiply numerator and denominator by the complex conjugate (C - jD). The denominator then becomes a simple real scalar, and the numerator is multiplied as above:

Quotient = (A + jB)(C - jD) / (C^2 + D^2)

Polar forms are simpler: multiply by multiplying the magnitudes and adding the angles, divide by dividing the magnitudes and subtracting the angles.
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