A charge Q homogeneously fills the volume of a sphere of mass m (uniformly distributed) and radius R. At the initial moment t=0 an external magnetic field with intensity B=B(t) is connected, which does not vary in direction y satisfies the initial condition B(0)=0. Under the influence of the magnetic field the sphere begins to rotate. Neglecting the inverse influence exerted by the sphere on the external magnetic field, determine the angular velocity of rotation and verify the conservation of angular momentum. Hint: moment of inertia of the sphere is I=2/5mR^2
A charge Q homogeneously fills the volume of a sphere of mass m (uniformly distributed) and radius R. At the initial moment t=0 an external magnetic field with intensity B=B(t) is connected, which does not vary in direction y satisfies the initial condition B(0)=0. Under the influence of the magnetic field the sphere begins to rotate. Neglecting the inverse influence exerted by the sphere on the external magnetic field, determine the angular velocity of rotation and verify the conservation of angular momentum. Hint: moment of inertia of the sphere is I=2/5mR^2
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Transcribed Image Text:A charge Q homogeneously fills the volume of a
sphere of mass m (uniformly distributed) and
radius R. At the initial moment t=0 an external
magnetic field with intensity B=B(t) is connected,
which does not vary in direction y satisfies the
initial condition B(0)=0. Under the influence of
the magnetic field the sphere begins to rotate.
Neglecting the inverse influence exerted by the
sphere on the external magnetic field,
determine the angular velocity of rotation and
verify the conservation of angular momentum.
Hint: moment of inertia of the sphere is
|=2/5mR^2
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