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Conductor moving perpendicular to magnetic field


Starting from the fundamental form of Faraday’s law, derive a tangible equation for the induced voltage in a conductor of length l moving in a magnetic field of flux density B with a velocity v perpendicular to the magnetic field


http://www.kurzweilai.net/images/Minimum_Magnetic_Field_Trap.png
Figure 1: Conductor moving perpendicular to magnetic field.
            According to Faraday’s law in order to induce voltage in a conductor we must have:
·                     Magnetic field (B).
·                     Conductor (l).
·                     Motion (v).
If the conductor is moved through a magnetic field a voltage is induced in the conductor. The induced voltage is proportional to magnetic field, conductor  and the direction of motion of the conductor.
             E
E=KBv.
Where K is a constant and in SI units  in m, B in wb/m2 , v in m/s then K=1.
            E=Blv.

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