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A sphere of r...

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A sphere of radius R with charge Q uniformly distributed over it is rotated with angular speed omega around its diameter. Find magnetic moment associated with it.

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Q. Consider a solid sphere of radius

R

m

Q

distributed uniformly over its volume. The sphere is rotated about a diameter with the angular speed

ω

. The magnetic moment M and the angular momentum

L

of sphere are related as

M = \frac{x Q}{2 m} L

x

Q. Consider a solid sphere of radius r and mass m that has a charge q distributed uniformly over its volume. The sphere is rotated about its diameter with an angular speed ω. Show that the magnetic moment µ and the angular momentum l of the sphere are related as

μ = \frac{q}{2 m} l

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

.

Q. Consider a solid sphere of radius

r

m

which has a charge

q

distributed uniformly over its volume. The sphere is rotated about a diameter with an angular speed

ω

. Show that the magnetic moment

μ

and the angular momentum

l

of the sphere are related as

μ = \frac{q}{2 m} l

Q. A non conducting solid sphere of radius

r = 0.5 m

m = 2.5 kg

has a charge of

Q = 10 C

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

ω = 25 rad/s

. Find the magnetic moment (in

{Am}^{2}

) and angular momentum (in

{kgm}^{2} / s

) of the solid sphere.

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