- #1
eyenkay
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Homework Statement
Show that the magnetic field of a dipole can be written in coordinate-free form: B_dip (r)=(μ_o/(4πr^3 ))[3(m*r ̂ ) r ̂-m]
Homework Equations
Adip(r)= (μ_o/(4πr^2))(m*sin(theta))
Bdip= curl A = (μ_o*m/(4πr^3))(2cos(theta)(r-direction)+sin(theta)(theta-direction)
The Attempt at a Solution
I figure this must have something to do with the above equations for the vector potential dipole and magnetic field dipole, I just don't have any idea what it means to write in 'coordinate-free form', or how to go about that..
Can anybody point me in the right direction?