Engineering and Applied Sciences Applied Physics 216 Lecture 15: Lecture 15

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Ap 216 lecture 15 magnetostatics magnetic moments - spin resonance. Helmholtz theorem d mf d d dvj b d d. 3 d x and with equation (1) and (3) you can find the interaction force between two current distributions. (note the problem in deducing an interaction energy between current distribution based on this force. J x d x d x (x ) is localized around x =0. Expand 1/| x x "| assuming d x d. 1 d x dd x d d x x d. 1 d x x x i x x i j j. The integrals can be evaluated with the help of the divergence theorem applied to volumes that completely enclose the localized current and the following extremely useful vector identity. d d x i x i d. J i which follows from expanding the rhs. 8 k x k x i x i x k.

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