ElectroMagnetic InductionHard

Question

Earth′s  surface is a conductor with a uniform surface charge density s. It rotates about its axis  with angular velocity ω. Suppose the magnetic field due to Sun at Earth at some instant is a uniform field B pointing along earths axis. Then the emf developed between the pole and equator of earth due to this field is. (Re = radius of earth)

Options

A.1/2 BωRe2
B.BωRe2
C.3/2 BωRe2
D.0

Solution


the equator can be seen as a conducting ring of radius Re revolving with angular velocity ω in a perpendicular magnetic field B.
∴Potential difference. across its center and periphery =
Potential at pole = potential of the axis of earth i.e. potential at point O
∴ Veqvator − Vpole =

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