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Magnet

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Find magnetic moment due to a hollow charged sphere.

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Q. A hollow conducting sphere of radius

R

and total charge

q

rotates about its diametrical axis with constant angular speed

ω

. The magnitude of magnetic moment of the sphere is :

Q. A hollow metal sphere of radius

R

is uniformly charged. The electric field due to the sphere at a distance

r

from the centre

Q. Magnetic field arises due to charges in motion. Can a system haw magnetic moments even though its net charge is zero?

Q. Solid uniform conducting sphere of mass

^{'} m^{'}

Q

rotates about its axis of symmetry with constant angular velocity

^{'} ω^{'},

then the ratio of magnetic moment to the moment of inertia of the sphere is

\frac{x Q ω}{6 m},

x

is (Neglect induced charges due to centrifugal force)

Q. A hollow sphere of radius

r = 20 cm

m = 1 kg

has a charge of

Q = 1 C

distributed uniformly over its surface. If the sphere is rotated about a diameter with an angular speed

ω = 30 rad/s

then its magnetic moment is measured to be

10 x {Am}^{2}

x

.

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