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class_1(vector_alge)

# class_1(vector_alge) - E-M field THz Formula for E-M field...

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E-M field THz

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Formula for E-M field D B 0 E B t H J D t = ρ �� = �� Ѵ = - Ѵ Ѵ Ѵ = + Ѵ Ѵ r r r r r r r r r r r Maxwell Equations: Gauss’s law: E Faraday's law Ampere Maxwell’s law Gauss’s law: M
Scalar & Vector A scalar is a quantity that has only magnitude A vector is a quantity that has both magnitude and direction A field is a function that specifies a particular quantity everywhere in a region

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Unit vector A unit vector has a magnitude of 1 A unit vector specifies direction Definition Some commonly used unit vectors x a r y a r z a r Direction of x axis: Direction of y axis: Direction of z axis: x a r y a r z a r x y z
Arbitrary unit vector Find the direction of an arbitrary vector A (i.e. the unit vector along the direction of A) x x y y z z A 2 2 2 x y z A a A a A a A a A A A A + + = = + + r r r r r r x y z A (A ,A ,A ) = r In Cartesian coordinates, an arbitrary vector A is defined as: x x y y z z A A a A a A a = + + r r r r or 2 2 2 x y z A A A A = + + r The magnitude of vector A is: x y z A r z A

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