Pdf observability of the effects of curlfree magnetic. This follows from the fact that the curl of the gradient is zero. The quantity is known as the magnetic vector potential. We know from helmholtzs theorem that a vector field is fully specified by its divergence and its curl. The curl of the vector potential gives us the magnetic field via eq. Foote math 225 recall our main theorem about vector. Well have to use the expression for curl a in cylindrical coordinates, which is. The magnetic vector potential university of texas at austin. A curl free vector field that is not a gradient robert l. I wish i had taken time to delve more into that students question about whether curl can be interpreted as torque. Math 392 lecture 8 vector potentials, curl, divergence. However, the divergence of has no physical significance.
Hence, if 2 ar j r 0 free vector poisson equation for magnetostatics, then if jrfree. Download this free vector about page curl template, and discover more than 6 million professional graphic resources on freepik. A curlfree vector field that is not a gradient robert l. Choose from over a million free vectors, clipart graphics, vector art images, design templates, and illustrations created by artists worldwide. Scalar potential topography can simplify interpretation of. The vector potential admitted by a solenoidal field is not unique. Observability of the effects of curl free magnetic vector potential on the macroscale and the nature of the transition amplitude wave article pdf available in pramana 744. Ma102 20 vector fields, curl and divergence scalar curl. Thecross productof vectors u and v in r3 denoted by u v.
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