Induced voltage in a simple case |
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The vertical force on an electron at the bottom of the rod, (due to the separation of charges) is FE.  The magnetic force FB on a current element is given by F = BIL. Since current is a flow of charge in Coulombs per second, the force on q Coulombs of charge moving with speed v perpendicular to a magnetic field B is given by.... At once, the magnetic force on an electron in the wire is given by.... The magnetic force FB is balanced at equilibrium by the electric force FB.
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| The induced voltage is proportional to the field strength B, the velocity v. and the length of the rod, d. |