Question

Find the force on an electron (charge -1.602 x 1019 C) which is 1 nm from a perfectly conducting plane. What is the electric field acting on the electron? The surface charge density on a metal electrode is field strength close to the surface is E-1/ Use Gauss theorem to show that the electric An air-spaced transmission line consists of two parallel cylindrical conductors each 2 with their centres 10 mm apart as shown in fig Calculate the maximum potential difference which ean be applied to the conductors assuming that the electrical breakdown strength of air is 3 MV m

Answer 1

Ave. 느 usirg the method at images the (onduc fing- Plane is sreplaced b an iage chaege a 602 o19c which is imm behind the Posiction The ece ockingt on Ahe electson sound using よhe invesBeSoulage law. The Chaglges age 271m . apoot F-_57:7 x lo-12 N Foence is a vectoe uanity So we must Speci &s disnection The negative Sian indi ates thot sthe and at Hight-angles to The Electoic hela acting on electoon is E-F - 577x1012 602x 1o-13 3 60 MV.vn-! Е

dh stian Euatfroce Considen a Cnmall element oferea a the CuodSuc that tthe Suseface aseund if (anbe ousideses to Fi A be a plane. The local chasge denwat an be onei Graussian uace As,ase in Fig,Such th f encloeeo e element dA and ha Side% which ase moomal to the Suojace and topand botom aeg uolich ave pasvallel to the Suetace eectoic ield toithin a nductiug madteeial is zea The to tal Chaage enclosed b As

Eo Since the dia methe wigcs cse Small line chaages t along heis axes The electoic held on the x-axis between lie Cy "This expJ1eee ion ei s maximum on he inner "The maximum Peo(misei-bile Claaggeus a(d-a) The Postenctial ct points on the x-anis beween

where Cis a (ongtant of ivteeration Chơose C-o So 'that the potential is xc90 at She osigin The maximum pesmiesible potenial at A is ottained-bさSubstituting, skie maximum Chaofe d. Sutsfituting tae Valies, the maximum Valtafe-between tfhe loiae% ds 5-3 KV.