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

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Page 100

motipn of the closed

closed

electromotive force in the

i.e. ...

motipn of the closed

**coil**itself. The important thing was that the current in theclosed

**coil**lasted only as long as the flux was changing. More quantitatively, theelectromotive force in the

**coil**was found to be given by the rate of change of fluxi.e. ...

Page 104

(AxHVu+j^jA-(VxH)</u Again the first integral vanishes because of the conditions

at infinity and we have Un»f = ^f \-jdv Considering the current j to be distributed in

a number of distinct

(AxHVu+j^jA-(VxH)</u Again the first integral vanishes because of the conditions

at infinity and we have Un»f = ^f \-jdv Considering the current j to be distributed in

a number of distinct

**coils**, such that for any**coil**j dv = /dl, we have U-m = 2^1 ...Page 113

A circular

with angular velocity w. If the magnetic field B is perpendicular to the axis of

rotation, show that the average rate of dissipation of energy due to induced

currents is ...

A circular

**coil**of radius r and resistance R is spinning about one of its diameterswith angular velocity w. If the magnetic field B is perpendicular to the axis of

rotation, show that the average rate of dissipation of energy due to induced

currents is ...

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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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### Common terms and phrases

acceleration angle angular axis boundary conditions calculate called centre charge density charge distribution charged particle coefficient coil components conducting conductor consider coordinates dielectric constant differential dipole direction distance divergence electric and magnetic electric field electromagnetic field electromotive force electron electrostatic energy flux equation 16 expression field due field point finite fluid formula Fourier frame frequency function given gives Hence incident infinite interaction isotropic Laplace's equation linear Lorentz transformation magnetic field magnitude Maxwell's equations medium molecule momentum motion number density obtain orthogonal oscillations permanent magnets perpendicular photon plane plasma point charge polarization potential due Poynting vector radiation field radiation reaction radius refractive index region relation result satisfied scalar shows sin2 solution special theory sphere at infinity spherical surface integral symmetry tensor term theorem theory of relativity transverse uniform vanishes vector potential velocity volume wave length write zero