Electromagnetic FieldsThis revised edition provides patient guidance in its clear and organized presentation of problems. It is rich in variety, large in number and provides very careful treatment of relativity. One outstanding feature is the inclusion of simple, standard examples demonstrated in different methods that will allow students to enhance and understand their calculating abilities. There are over 145 worked examples; virtually all of the standard problems are included. |
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Page 18
... write the line integral for this case as $ A.ds This integral is sometimes called the circulation of A ; it may or may not be zero depending upon A as we shall see . If r is the position vector of each point on C , then ds = dr and we ...
... write the line integral for this case as $ A.ds This integral is sometimes called the circulation of A ; it may or may not be zero depending upon A as we shall see . If r is the position vector of each point on C , then ds = dr and we ...
Page 144
... write this in terms of the external electric field E by noting that ( ado / aj ) oEoj because of ( 5-3 ) so that 1 = 6 -- Σ Σ ǝEoj Qjk Әк j = x , y , z k = x , y , z which , when written out , becomes ( 8-69 ) VeoQ = двох двох двох - lx ...
... write this in terms of the external electric field E by noting that ( ado / aj ) oEoj because of ( 5-3 ) so that 1 = 6 -- Σ Σ ǝEoj Qjk Әк j = x , y , z k = x , y , z which , when written out , becomes ( 8-69 ) VeoQ = двох двох двох - lx ...
Page 155
... write ( 9-10 ) as - î ' · [ î × ( F2 - F1 ) — hc ] As + W = 0 ( 9-11 ) Now we again let the transition layer shrink to zero so that h → 0 while we keep As constant . Similarly to before , W will be proportional to h and will vanish in ...
... write ( 9-10 ) as - î ' · [ î × ( F2 - F1 ) — hc ] As + W = 0 ( 9-11 ) Now we again let the transition layer shrink to zero so that h → 0 while we keep As constant . Similarly to before , W will be proportional to h and will vanish in ...
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Ampère's law angle assume axis becomes bound charge boundary conditions bounding surface calculate capacitance capacitor charge density charge distribution charge q circuit conductor consider constant coordinates corresponding Coulomb's law current density curve cylinder defined dielectric dipole direction displacement distance E₁ electric field electromagnetic electrostatic energy equal evaluate example Exercise expression field point flux force free charge free currents frequency function given induction infinitely long integral integrand k₂ Laplace's equation located Lorentz transformation magnetic magnitude material Maxwell's equations normal components obtained origin parallel particle perpendicular plane wave plates point charge polarized position vector potential difference quadrupole quantities radiation radius rectangular region result satisfy scalar scalar potential shown in Figure solenoid sphere spherical tangential components unit vacuum vector potential velocity volume write written xy plane zero Απερ дх Мо