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

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Page 13

The Dirac 8-

variable x defined as follows _a/; ;a/2 F(x)=oifui>a/2 fig. 7 " F(x) = hif\x\<a/2

Suppose now ...

The Dirac 8-

**function**We now introduce the elementary idea of the Dirac 8-**function**which we shall use in the next chapter. Consider a**function**of a singlevariable x defined as follows _a/; ;a/2 F(x)=oifui>a/2 fig. 7 " F(x) = hif\x\<a/2

Suppose now ...

Page 14

However, noting the difference in dy/dx on the two sides, we can write <Py „ ., r d*

y J bl j^-Oifxta, J dx^dx = -alTaT Again we may give all this information by

introducing the delta

integral ...

However, noting the difference in dy/dx on the two sides, we can write <Py „ ., r d*

y J bl j^-Oifxta, J dx^dx = -alTaT Again we may give all this information by

introducing the delta

**function**and writing dx2 bl a(l-a) •6(;c -a) Of course in theintegral ...

Page 57

r' with some specific boundary condition. (Notc that in the Green's

' have a reciprocal role. It gives as well the potential at r' due to a unit charge at r

subject to the same boundary condition.) Now consider Green's formula J ...

r' with some specific boundary condition. (Notc that in the Green's

**function**, r and r' have a reciprocal role. It gives as well the potential at r' due to a unit charge at r

subject to the same boundary condition.) Now consider Green's formula J ...

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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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