A conducting rod of length ? rotates at constant angular velocity about one end, in a plane perpendicular to a uniform magnetic field B?(Figure).

(a) Show that the magnetic force on a charge q?at a distance r?from the pivot is Bqr?.

(b) Show that the potential difference between the ends of the rod is V = ?B??.

(c) Draw any radial line in the plane from which to measure ??= ?t. Show that the area of the pie -shaped region between the reference line and the rod is A?= ??²?. Compute the flux through this area, and show that E?= ?B?l² follows when Faraday's law is applied to this area.

Transcribed Image Text:

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