Electricity and Magnetism · Problem 5.1

THE MAGNETIC FIELD — Edward Purcell & David Morin

Physics — E&M · field-from-a-filament

Problem

Field from a filament * On a nylon filament 0.01 cm in diameter and 4 cm long there are 5.0⋅1085.0 \cdot 10^8 extra electrons distributed uniformly over the surface. What is the electric field strength at the surface of the filament: ((a)) in the rest frame of the filament? ((b)) in a frame in which the filament is moving at a speed 0.9c0.9c in a direction parallel to its length?

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