ME3514-Complex Numbers_part_1_v1

ME3514-Complex Numbers_part_1_v1 - ME3514 Complex Numbers:...

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ME3514 Complex Numbers omplex Numbers: Complex Numbers: i U i t Imaginary Part za i b Imaginary Unit, Real Part 1 i Graphic Representation: Imaginary Axis b Complex Number z Complex Plane Real Axis a Vector Representation of z omplex numbers also behaves as a vector in the complex plane Such vector is R. Burdisso 1 Complex numbers also behaves as a vector in the complex plane. Such vector is defined by the complex number z and the origin of the complex plane.
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ME3514 Complex Numbers ectangular and Polar Forms: Rectangular and Polar Forms: A complex numbers can be represented in: Rectangular Form Polar Form b z a i b a OR s sin z i za   cos zz  Where a and b are the Cartesian oordinates in the complex plane Where is the magnitude of z, and the phase (or argument) of z coordinates in the complex plane is the phase (or argument) of z , measured relative to the positive real axis Relationship between Rectangular and Polar Forms: 2 R. Burdisso 2 cos sin az bz 22 tan b b a
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ME3514
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ME3514-Complex Numbers_part_1_v1 - ME3514 Complex Numbers:...

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