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Bill and Bev Force on a Moving Charge The force on a charge q, is F = Bqv where v is the velocity B q F v Link to Circular Paths The force causes the particle to travel in a circular path Link to Circular Paths F = Bqv F= 2 mv r Bqv = 2 mv r r = mv Bq The radius of curvature depends on the strength of the field, the mass of the particle, the charge of the particle and the velocity. Mass Spectrometer Link to Circular Paths T = 2pir v r = mv Bq T = 2 pi m BQ Questions -31 A particle of mass 9.1 x 10 kg and with a charge of 1.6 x 10-19 C, is moving at 4.5 x 106 ms-1. It enters a uniform magnetic field of flux density 0.15 mT at 90 degrees. What is the radius of its circular path. Magnetic Flux The magnetic flux density (B) x the area swept out (A) = magnetic flux (theta) Units Webber Electromagnetic Induction A moving charge in a magnetic field experiences a force Therefore moving a conductor in a (to make it move). field will cause a current to flow. This is electromagnetic induction. Or a varying magnetic field over a conductor will also cause a current. Electromagnetic Induction Flux cutting. The conductor has to cut field lines for an emf to be induced. Magnetic Flux Linkage Through a coil of N turns n theta = n BA when the magnetic field is along the normal (perpendicular) of the coil face the N theapta = NBA - When the coil is turned 180 then N theta = -NBA - When the magnetic field is parallel to the coil flux linkage = 0 - Faraday's Law The induced emf in a conductor is equal to the rate of change of flux linkage through the circuit. 1. Write this out as an equation. 2. Derive the equation from V= W/Q