## Principles of Electricity and Electromagnetism |

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Page 47

or U = % j div (VE)dv - ^Je • 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

surface

or U = % j div (VE)dv - ^Je • 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 asurface

**integral**J* ...Page 292

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

could be added any

**integral**multiple of 4ir and the same solid angle would beobtained in exact analogy to rotation about an axis. However, the gradient is ...

Page 300

From Eq. (9.18) U = lJ*A • curl H dv Since div (A X H) = H • curl A — A • curl H, the

integrand can be written H ' curl A - div (A X H) But the

term is zero if the currents occupy only a finite region. This can be seen by ...

From Eq. (9.18) U = lJ*A • curl H dv Since div (A X H) = H • curl A — A • curl H, the

integrand can be written H ' curl A - div (A X H) But the

**integral**of the divergenceterm is zero if the currents occupy only a finite region. This can be seen by ...

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alternating current alternating-current ampere amplifier amplitude angle angular anode antenna applied approximately armature assumed atom axis calculated capacity cathode cell characteristic charge circuit coefficient coil component condenser conducting conductor considered constant curl current flowing curve deflection density determined dielectric dielectric constant direct-current direction discharge effective electric field electromagnetic electromotive force electrons electrostatic element energy equal equation flux force frequency function galvanometer given grad grid hence hysteresis impedance induction integral ions known Laplace's equation length linear load magnetic field magnetic induction magnitude maximum measured metal meter negative normal obtained ohms oscillations output parallel phase plane plate polarization positive potential difference potential wave potentiometer produced proportional quantities radiation radius ratio reactance region represents resistance resonant rotation Show shown in Fig solenoid solution surface temperature terminals theorem torque tube unit vector velocity voltage volts wire written zero