Question: 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)
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.
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a We have F q v B Here v and B are at right angles and v r So F qBr b We ... View full answer
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