## Principles of Electricity and Electromagnetism |

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Page 289

From Eq. (9.2) it is evident that the induction due to a closed circuit can be written

Let us now introduce the vector notation

elementary properties of this vector are described in Appendix D. By forming the

...

From Eq. (9.2) it is evident that the induction due to a closed circuit can be written

Let us now introduce the vector notation

**curl**v, which is defined as Theelementary properties of this vector are described in Appendix D. By forming the

...

Page 314

or constricting the surface of integration to an infinitesimal one

is the differential equation relating the electric field and magnetic induction at any

point which forms the basis for the discussion of the induction of currents in ...

or constricting the surface of integration to an infinitesimal one

**curl**E = (10.3) Thisis the differential equation relating the electric field and magnetic induction at any

point which forms the basis for the discussion of the induction of currents in ...

Page 348

the vector potential A the energy can be written U = — I m- •

integrand can be rewritten by means of the vector identity m„ •

+ div (A X m-) (appendix D) and as the volume integral of the divergence is equal

to the ...

the vector potential A the energy can be written U = — I m- •

**curl**A dv Theintegrand can be rewritten by means of the vector identity m„ •

**curl**A = A •**curl**m„+ div (A X m-) (appendix D) and as the volume integral of the divergence is equal

to the ...

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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