The homopolar generator, also called the Faraday disk, is a low-voltage, high-cu

Question

The homopolar generator, also called the Faraday disk, is a low-voltage, high-current electric generator. It consists of a rotating conducting disk with one stationary brush (a sliding electrical contact) at its axle and another at a point on its circumference as shown in the figure below. A uniform magnetic field is applied perpendicular to the plane of the disk. Assume the field is 0.900 T, the angular speed is 2.52 X 103 rev/min, and the radius of the disk is 0.460 m. Find the emf generated between the brushes. When superconducting coils are used to produce a large magnetic field, a homopolar generator can have a power output of several megawatts. Such a generator is useful, for example, in purifying metals by electrolysis. If a voltage is applied to the output terminals of the generator, it runs in reverse as a homopolar motorcapable of providing great torque, useful in ship propulsion. _________________V

Explanation / Answer

W=2520*(2pi/60)=263.9 rad/s

Induced emf

E=(1/2)*B*W*r2

E=(1/2)*0.9*263.9*0.462

E=25.13 volts

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