APPENDIXES

Appendix 1

Approximate Values of Physical Constants

Constant

Speed of light

Planck's constant

Reduced Planck's constant

Avogadro's number

Boltzmann's constant

Electron charge

Electron mass

Electron charge to mass ratio

Neutron mass

Proton mass

Gravitational constant

Acceleration of gravity

Stefan-Boltzmann constant

Fine structure constant

Bohr radius

Classical electron radius

Electron Compton wavelength

Bohr magneton

Rydberg constant

Universal gas constant

Josephson constant

Permittivity of free space

Symbol

G

SI CGS

1

313

314 APPENDIXES

Some Astronomical Data

Mass of the Sun

Radius of the Sun

Average Distance between the Earth and the Sun

Average Radius of the Earth

Mass of the Earth

Average Velocity of the Earth in Orbit about the Sun

Average Distance between the Earth and the Moon

Other Commonly Used Units

APPENDIXES 315

Appendix 2

Conversion Table from Rationalized MKSA to Gaussian Units

Physical Quantities

Charge

Charge Density

Current

Electric Field

Potential (Voltage)

Magnetic Flux

Magnetic Induction

Magnetic Field

Inductance

Capacitance

Resistance

Conductivity

Rationalized MKSA

coulomb

ampere

volt/m

volt

weber

tesla

ampere-turn/m

henry

farad

ohm

mho/m

Conversion Coefficients Gaussian

esu

esu/sec

statvolt/cm

statvolt

gauss

oersted

cm

sec/cm

316 APPENDIXES

Appendix 3

Vector Identities

APPENDIXES 317

Vector Formulas

in Spherical and Cylindrical Coordinates

Spherical Coordinates

Transformation of Coordinates

Transformation of Differentials

Square of the Element of Length

Transformation of the Coordinates of a Vector

318 APPENDIXES

Divergence

Curl

Gradient

Laplacian

APPENDIXES 319

Cylindrical Coordinates

Transformation of Coordinates

Transformation of Differentials

Square of the Element of Length

Transformation of the Coordinates of a Vector

Divergence

Curl

Gradient

Laplacian

Appendix 4

Legendre Polynomials

320 APPENDIXES

APPENDIXES 321

Rodrigues’ Formula

Spherical Harmonics

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