Article | REF: D31 V1

Mathematics for electricians - Complex numbers

Author: Claude ROUXEL

Publication date: May 10, 1999

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2. Complex numbers in trigonometric form

Many applications of complex numbers, particularly in electricity, are based on the fact that multiplication by "j" can be interpreted as a rotation of a right angle; this leads us to define another way of marking complexes than the Cartesian one.

2.1 Modulus and argument of a complex number

Given a non-zero complex number z with image M, we call (figure 4 ) :

  • modulus of z is the distance OM; it is noted |z| ;

  • argument of z, one of the radian measures...

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Complex numbers in trigonometric form