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Convert unit vector from cartesian to spherical coordination

  1. Aug 10, 2013 #1
    i have a problem :
    A small loop antenna in free space and centered about the origin on the xy-plane is producing a
    (far-field) radiation electric field (in phasor notation) :

    and their solution :

    i don't understand how can they replace (-x^) with (∅^.sinθ), can anyone show me how to convert unit vectors in cartesian coordination (x^, y^, z^) into spherical (r^, θ^, ∅^), thanks
    Last edited: Aug 10, 2013
  2. jcsd
  3. Aug 10, 2013 #2


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