Classical ElectrodynamicsProblems after each chapter |
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Page 4
... function f ( x ) , - a ) dx = f ( a ) , and ( 3 ) f f ( x ) dx √ ( 4 ) . [ f ( x ) 8 ′ ( x − a ) dx = [ se -f ' ( a ) , where a prime denotes differentiation with respect to the argument . If the delta function has as argument a function ...
... function f ( x ) , - a ) dx = f ( a ) , and ( 3 ) f f ( x ) dx √ ( 4 ) . [ f ( x ) 8 ′ ( x − a ) dx = [ se -f ' ( a ) , where a prime denotes differentiation with respect to the argument . If the delta function has as argument a function ...
Page 18
... functions . " In obtaining result ( 1.36 ) —not a solution - we chose the function y to be 1 / xx ' , it being the potential of a unit point charge , satisfying the equation : V / 2 1 = —4πð ( x − x ' ) - — ( 1.31 ) The function 1 / x ...
... functions . " In obtaining result ( 1.36 ) —not a solution - we chose the function y to be 1 / xx ' , it being the potential of a unit point charge , satisfying the equation : V / 2 1 = —4πð ( x − x ' ) - — ( 1.31 ) The function 1 / x ...
Page 78
... function as a series of products of the functions appropriate to the coordi- nates in question . We first illustrate the type of expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at ...
... function as a series of products of the functions appropriate to the coordi- nates in question . We first illustrate the type of expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
Copyright | |
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4-vector acceleration Ampère's law angle angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate cavity Chapter charge q charged particle coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss energy transfer factor force equation frame frequency given Green's function impact parameter incident particle integral Kirchhoff Lagrangian Laplace's equation Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain oscillations P₁ P₂ parallel perpendicular plasma polarization power radiated problem radius region relativistic result S₁ scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ