## Principles of Electricity and Electromagnetism |

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Page 542

On taking the

v2E ...

On taking the

**curl**of Eq. (16.4) and substituting the complete expression for the**curl**of H, the following equation is obtained tan 9P = — T = n**curl**H = cE +**curl****curl**E = —^-(zva\ H) = -wAv— + kk0-w Since Eq. (16.1) still applies,**curl curl**E =v2E ...

Page 596

Rotation or

vector field, a second vector field of great importance in electromagnetic theory

may be derived from it by forming the vector product of v and v. This product is

known ...

Rotation or

**curl**of a Vector Field. — If v represents a continuous differentiablevector field, a second vector field of great importance in electromagnetic theory

may be derived from it by forming the vector product of v and v. This product is

known ...

Page 598

(

subdivided into a large number of these infinitesimal areas. It may be seen from

Fig. D.12 that the sum of the elements of work done in circumscribing all of these

elements ...

(

**curl**F) • ds A finite area of a surface bounded by a closed curve can besubdivided into a large number of these infinitesimal areas. It may be seen from

Fig. D.12 that the sum of the elements of work done in circumscribing all of these

elements ...

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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 grid hence 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 scalar Show shown in Fig solenoid solution surface temperature terminals theorem torque tube unit vector velocity voltage volts wire written zero