Question

Question An infinite length wire moving along its axis with the velocity v carries a uniformly distributed linear 2 load density a) Determine the current flowing along the wire and the magnetic field produced by it. b) Calculate the electric field produced by the wire. Show that the ratio of the electric field to the magnetic field is independent of the wire distance and the value of .

Answer 1

Solution

Solution Vio This Scenario a) The current associated with a moving love charge density is given by I is the line charge dersity of I=du w is the velocity of wire. is identical to an infinite wire carrying a current I=dv. The magnetic field at a distance & from the found out by applizing Amperes law to circular amperrians loop haning radius { B will be circling around fe.de - Dies Fanclosed > B (226) = portv B rotu 2. wire can be the wire Bize - Bol s Directed around and sode = B(298) hence zur the wire lag applying 6) Electric field can be found out Crauss's law to a galassians cylinder of radius er and length L. The electric field due to charged is finife wire will be directed radially outward 33 d's - Renclosed. =) E (2a8L) - IL S Directed A Zure 25bigou Como X This В hatro Chart is the area of corved surface {of ceplinder. Upper and lower ends won't contribute to integral since Eds=o. radially outward AL is the enclosed charge im this cylinder Zux GAV MEEN But we know SUSU Nuoro Speed of light in vacuum, E