ABSTRACT
Consider a conductor at constant angular speed (): • at (0) motion of conductor is parallel to B, hence
induced voltage = 0; • at (1), conductor has begun to cut magnetic field
lines B, hence some voltage is induced; • at (2), conductor cuts magnetic field lines at a greater
rate than (1) and thus a greater voltage is induced; • at (3), conductor cuts magnetic field lines at
maximum rate, thus maximum voltage is induced; • from (3) to (6), the rate of cutting becomes less; • at (6), conductor moves parallel to B and v = 0; • from (6) to (9), conductor begins to cut field lines
again but in the opposite direction hence induced
The induced voltage is directly proportional to the rate at which the conductor cuts across the magnetic field lines. Thus, the induced voltage is proportional to the velocity of the conductor in the x direction (Vx = V sin ). The velocity component Vy is parallel to the field lines and thus does not contribute to the rate of “cutting.”
