. Electricity and matter . rawtwo spheres having their centres at the particle andhaving radii respectively et^ual to Vt and V {t — t), 60 ELECTRICITY AND MATTER where r is the time occupied in stopping theparticle; outside the outer sphere the configura-tion of the tubes will be the same as if the par-ticle had not been stopped, i. e., the tubes will bethe plane at the distance Vt in front of the par-ticle, and this plane will touch the outer the inner sphere the Faraday tubes will beuniformly distributed, hence to preserve continuitythese tubes must run round in the shell to jo
. Electricity and matter . rawtwo spheres having their centres at the particle andhaving radii respectively et^ual to Vt and V {t — t), 60 ELECTRICITY AND MATTER where r is the time occupied in stopping theparticle; outside the outer sphere the configura-tion of the tubes will be the same as if the par-ticle had not been stopped, i. e., the tubes will bethe plane at the distance Vt in front of the par-ticle, and this plane will touch the outer the inner sphere the Faraday tubes will beuniformly distributed, hence to preserve continuitythese tubes must run round in the shell to join thesphere as in Fig. 14. We thus have in this case two pulses, one aplane pulse propa-gated in the direc-tion in which theparticle was mov-ing before it wasstopped, the other aspherical pulse trav-elling outward in alldirections. The precedingmethod can be ap-plied to the casewhen the charged particle, instead of beingstopped, has its velocity altered in any way; thus,if the velocity v of the particle instead of being. Fig. 14. RONTGEN RAYS AND LIGHT Ql reduced to zero is merely dimlnislied by A v, wecan show, as on page 57, that it will give rise toa pulse in which the magnetic force H is given bythe equation „ eAv sin 9 ±L = s , ro and the tangential electric force T by rp_ 6~ ~ Now the thickness S of the pulse is the spacepassed over by a wave of light during the time thevelocity of the particle is changing, hence if S ^is the time required to produce the change A ^ inthe velocity 8 = Vh t, hence we have „_ 6 A^ sin ^ ^ _ e Av sin 6 VTt ~V~ T^ Tt ~V~ Avbut K^ is equal to —/, where/is the acceleration of the particle, hence we have rr_ e J, sin 6 ^_ __ e .sin 0 These equations show that a charged particlewhose motion is being accelerated produces a pulseof electric and magnetic forces in which the forcesvary inversely as the distance from the particle. Thus, if a charged body were made to vibrate in 62 ELECTRICITY AND MATTER such a way that its accelera
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Keywords: ., bookcentury1900, bookdecade1900, booksubjectelectri, bookyear1904
