. The London, Edinburgh and Dublin philosophical magazine and journal of science. .. Let P, Q, Ii be the components of the electromotive in-tensity parallel to the axes of x, y, z respectively, a thespecific resistance of the shell, fi the permeability of the shell,li that oi the dielectric, K the specific inductive capacity ofthe dielectric, r, 6, § the polar coordinates of any point,6 being the colatitude, 6 the longitude. Let the current in the circuit be represented by the realpart of yeipt, p = 27r x frequency, i = (— 1) *. By symmetry the induced currents in the shell will flowin circles
. The London, Edinburgh and Dublin philosophical magazine and journal of science. .. Let P, Q, Ii be the components of the electromotive in-tensity parallel to the axes of x, y, z respectively, a thespecific resistance of the shell, fi the permeability of the shell,li that oi the dielectric, K the specific inductive capacity ofthe dielectric, r, 6, § the polar coordinates of any point,6 being the colatitude, 6 the longitude. Let the current in the circuit be represented by the realpart of yeipt, p = 27r x frequency, i = (— 1) *. By symmetry the induced currents in the shell will flowin circles parallel to the plane of the circuit. Let be the electromotive intensity tangential to one ofthese circles; a Spherical Conducting Shell on Dielectric Induction. 157 • • • (1) .-. P= — sin0., Q = cos (/>.<£, R=0. is by symmetry independent of .Now P satisfies the equation 2p_. —ft __in the conductor,cr atand d2FV2P=/iK -j-g- in the dielectric. Assumeand let P varies as elpt,X2__473vup X2= fiKp2. V2P + X2P=0; in the dielec
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Keywords: ., bookcentury1800, bookdecade1840, bookidlondon, booksubjectscience
