Chapter |

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Similar
to the electric field, the Gauss Law of Magnetic Field has defined the
relationship between magnetic charge and magnetic field. The Gauss Law of
Magnetic Field is:

_{} (5.1)

In
which _{} is the magnetic field
strength, _{} is the magnetic
charge density.

Combine
the Gauss Law of Magnetic Field (5.1) and magnetic charge density distribution
equation (3.1), and we get the follows magnetic field strength solution:

_{} (5.2)

We will prove that the above equation (5.2) satisfies the
Gauss Law of Magnetic Field.

As we know the gradient in spherical coordinate is:

_{}

From
equation (5.2), thus:

_{} (5.3)

Therefore,

_{} (5.4)

Thus:

_{} (5.5)

Combine equation
(3.1) and (5.5), then we get:

_{}

Thus
we have proved that the magnetic field solution equation (5.2)
satisfied the Gauss Law of Magnetic Field.

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**Reference
**

The magnetic dipole interaction in Einstein-Maxwell theory

W.B.Bonnor

Class.Quant.Grav. 19 (2002) 149-153

Interaction
between a stationary electric charge and a stationary magnetic dipole

W.B.Bonnor

Class.Quant.Grav. 18 (2001) 2853

ISBN 0-9743974-9-0 Copyright © 2003 Gengyun Li All rights reserved http://www.electronspin.org |

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