Pretace
Acknowledgements
About the anthors
1 Mathematical techniques
1.1 Theory
1.1.1 Dot and cross product
1.1.2 Separation vector
1.1.3 Transformation matrix
1.1.4 Gradient
1.1.5 Divergence
1.1.6 Curl
1.1.7 Laplacian
1.1.8 Line integral
1.1.9 Surface integral
1.1.10 Volume integral
1.1.1 1 Fundamental theorem for gradients
1.1.1 2 Fundamental theorem for divergences Gauss's theorem Green's theorem,divergence theorem)
1.1.1 3 Fundamental theorelll for CUrls fStoke's theorem.curl theorem
1.1.1 4 Cylindrical polar coordinates
1.1.1 5 Spherical polar coordinates
1.1.1 6 One-dimensional Dirac delta function
1.1.17 Theory of vector fields
1.2 Problems and solutions
Bibliography
2 Electrostatics
2.1 Theory
2.1.1 Coulomb's law
2.1.2 Electric field
2.1.3 Gauss's law
2.1.4 Curl of E
2.1.5 Energy of a point charge distribution
2.1.6 Energy of a continuous distribution
2.1.7 Energy per unit volume
2.2 Problems and solutions
Bibliography
3 Electric potential
3.1 Theory
3.1.1 Laplace'S equation
3.1.2 Solving Laplace's equation
3.1.3 General solutions
3.1.4 Method of images
3.1.5 Potential due to a dipole
3.1.6 Multiple expansion
3.1.7 Monopole moment
3.2 Problems and solutions
Bibliography
4 Magnetostatics
4.1 Theory
4.1.1 Magnetic force
4.1.2 Force on a current carrying wire
4.1.3 Volume current density
4.1.4 Continuity equation
4.1.5 Biot-Savart law
4.1.6 Divergence of B
4.1.7 Ampere's law
4.1.8 Vector potential
4.1.9 Magnetic dipole moment
4.1.10 Magnetic field due to dipole moment
4.2 Problems and solutions
Bibliography
5 Electric fields in matter
5.1 Theory
5.1.1 lnduced dipole moment of all atom in an electric field
5.1.2 Torqueoll a dipole due to all electric field
5.1.3 Force on a dipole
5.1.4 Energy of a dipole in an electric field
5.1.5 Surface bound charge due to polarization P
5.1.6 Volume bound charge due to-polaization P
5.1.7 Potential due to polarization P
5.1.8 Electric displacement
5.1.9 Gauss's law for electric displacement
5.1.10 Linear dielectrics
5.1.1 1 Energy in a dielectric system
5.2 Problems and solutions
Bibliography
6 Magnetic fields in matter
6.1 Theory
6.1.1 Torque on a magnetic dipole moment
6.1.2 Force on a magnetic dipole
6.1.3 H-field
6.1.4 Linear media
6.1.5 Surface bound current due to magnetization M
6.1.6 Volume bound current due to magnetization M
6.2 Problems and solutions
Bibliography
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