## Classical Electromagnetism, Volume 1CLASSICAL ELECTROMAGNETISM features a friendly, informal writing style. The text has received numerous accolades. |

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Page 148

Both scalar potential Vand vector potential A can contribute to the energy of a

charged particle by means of the E and B fields they are associated with: dt and B

= V XA For the magnetic field, the force Lorentz Qv X B is always perpendicular to

the displacement, so no work is done by a constant B. The E field can do work on

a charge, with or without the assistance of

electrostatics, with

Both scalar potential Vand vector potential A can contribute to the energy of a

charged particle by means of the E and B fields they are associated with: dt and B

= V XA For the magnetic field, the force Lorentz Qv X B is always perpendicular to

the displacement, so no work is done by a constant B. The E field can do work on

a charge, with or without the assistance of

**dA**/**dt**. However, if we are limited toelectrostatics, with

**dA**/**dt**= 0, so that E is derived only from W, then E is called ...Page 149

The energy comes from whatever provides the dB/dt. The closed-contour test is

illustrated for three cases in Figure 6.12. For the closed contour a in Figure 6.12a,

there is no

work is done in carrying a test charge completely around the closed contour

labeled a. That is the situation in electrostatics. In Figure 6.12b, there is a

solenoid at the center with a changing B. Outside of the solenoid, at loop a,

is proportional ...

The energy comes from whatever provides the dB/dt. The closed-contour test is

illustrated for three cases in Figure 6.12. For the closed contour a in Figure 6.12a,

there is no

**dA**/**dt**, so E = — Wand it is conservative. There is no curl, and no network is done in carrying a test charge completely around the closed contour

labeled a. That is the situation in electrostatics. In Figure 6.12b, there is a

solenoid at the center with a changing B. Outside of the solenoid, at loop a,

**dA**/**dt**is proportional ...

Page 535

The following table displays some of the more important equations of electro-

magnetism in SI and Gaussian units. SI Gaussian Coulomb's law Biot-Savart law

Parallel currents Maxwell's equations Maxwell's equations in material

Constitutive relations Lorentz force Energy density Poyn ting's vector Larmor

formula Potentials F= Qe747re0r2 B = (M0/47r) F/l= fj.0II727rr PP dv V • E = Pt/e0

V-B = 0 V X E = - dB/

The following table displays some of the more important equations of electro-

magnetism in SI and Gaussian units. SI Gaussian Coulomb's law Biot-Savart law

Parallel currents Maxwell's equations Maxwell's equations in material

Constitutive relations Lorentz force Energy density Poyn ting's vector Larmor

formula Potentials F= Qe747re0r2 B = (M0/47r) F/l= fj.0II727rr PP dv V • E = Pt/e0

V-B = 0 V X E = - dB/

**dt**V X B = M0Jt + Mo«o3E/d* V • D = pf V-B = 0 V X E = - dB/**dt**V X H = Jf + ...### What people are saying - Write a review

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### Contents

Vector Analysis | 1 |

Electric Field EGausss Law | 33 |

Magnetic Field BAmperes Law | 66 |

Copyright | |

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### Common terms and phrases

acceleration Ampere's law angular ANSWER antenna atom axis Biot-Savart Biot-Savart law C7 EXAMPLE calculate capacitance capacitor charge density charge Q circuit component conducting conductor constant coordinates Coulomb's law curl current density cylinder dA/dt dielectric differential direction distance divergence divergence theorem electric dipole electric field electromagnetic electrons electrostatic Faraday's law field lines Figure Find the field flux frequency Gauss's law inductance inductor infinite inside integral Laplace's equation line charge loop Lorentz force Lorentz transformation magnetic dipole magnetic field magnetic monopoles Maxwell's equations meter momentum moving negative parallel perpendicular plane plasma plates polarization positive potential Poynting's vector primed frame Problem proton radiation radius reference frame relative relativistic resistor right-hand rule rotation scalar Section solenoid sphere spherical stationary surface charge theorem tion unit V X A V X B V X E velocity voltage waveguide wire zero