## Principles of Electricity and Electromagnetism |

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Page 47

or div ( VE ) dv E . grad V dv The first term may be shown in the following way to

vanish if the charges are located in a finite region : By the theorem of flux (

Appendix D ) this volume

( VE ) ...

or div ( VE ) dv E . grad V dv The first term may be shown in the following way to

vanish if the charges are located in a finite region : By the theorem of flux (

Appendix D ) this volume

**integral**may be transformed into a surface**integral**( div( VE ) ...

Page 292

The solid angle w subtended by the circuit is really not uniquely defined , for to it

could be added any

obtained in exact analogy to rotation about an axis . However , the gradient is ...

The solid angle w subtended by the circuit is really not uniquely defined , for to it

could be added any

**integral**multiple of 41 and the same solid angle would beobtained in exact analogy to rotation about an axis . However , the gradient is ...

Page 300

A is inversely proportional to r and H is inversely proportional to r ? , whereas the

surface area increases only as ra ; so the

curl A the energy can be expressed as U = { [ B . H dv Or since B differs from H ...

A is inversely proportional to r and H is inversely proportional to r ? , whereas the

surface area increases only as ra ; so the

**integral**vanishes as 1 / r . Writing B forcurl A the energy can be expressed as U = { [ B . H dv Or since B differs from H ...

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angle applied approximately assumed atom axis becomes calculated capacity carrying cell characteristic charge circuit closed coil component condition conducting conductor connected considered constant curve density depends determined dielectric difference direction discharge discussion distance effective electric electrons element energy equal equation evident expression factor field flow flux force frequency function galvanometer given grid hence impedance important increases indicated induction integral ions known length limited linear load losses magnetic magnetic field magnitude maximum means measured mechanical metal meter method negative normal obtained oscillations parallel path period phase placed plate positive potential present produced proportional quantities radius ratio reduced region relation represents resistance respect result rotation seen separation Show shown simple solution space surface temperature terminals transformer tube unit vector volts volume wave wire written zero