## Classical theory of electricity and magnetism: a course of lectures |

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Page 95

c V'M (r') J , ^Mtr^, 0(r) = - f 7^-du' + <j> — ^ds' v J lr - r'l r lr -r'l (31) Of course,

permanent magnets may also be dealt with in terms of the

have already seen that we then have fV'xM(rQ , M (Q x ds' A (r) = J du + 0 . w J lr-r'

l r lr ...

c V'M (r') J , ^Mtr^, 0(r) = - f 7^-du' + <j> — ^ds' v J lr - r'l r lr -r'l (31) Of course,

permanent magnets may also be dealt with in terms of the

**vector potential**. Wehave already seen that we then have fV'xM(rQ , M (Q x ds' A (r) = J du + 0 . w J lr-r'

l r lr ...

Page 97

The

... ^rsine (r >a) 4n = -t-M 0 rsinQ (r <a) A, =A0 = 0 The calculation of B by B = V x A

and H yields results identical to those obtained by using the scalar potential.

The

**vector potential**method may also be used for solution of the above problem.... ^rsine (r >a) 4n = -t-M 0 rsinQ (r <a) A, =A0 = 0 The calculation of B by B = V x A

and H yields results identical to those obtained by using the scalar potential.

Page 312

so that from (20) and (21) These formulae agree with equations (5) and (6) of

Chapter 24 if we identify the space components of A^ with the

introduced there and the time component A0 with - c0. Thus the scalar and vector

...

so that from (20) and (21) These formulae agree with equations (5) and (6) of

Chapter 24 if we identify the space components of A^ with the

**vector potential**introduced there and the time component A0 with - c0. Thus the scalar and vector

...

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### Contents

The empirical basis of electrostatics | 1 |

Direct calculation of fields | 7 |

dipoles9 The Dirac 5function13 | 13 |

Copyright | |

23 other sections not shown

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