A cylinder of radius R and length L, with R« L, carries a uniform volume charge density p. The cylinder rotates about its symmetry axis with a constant angular velocity w. (a) Find the electric field for both inside (r < R) and outside (r > R) the cylinder, where r is the distance to the symmetry axis. L (b) Find the magnetic field both inside (r < R) and outside (r > R) the cylinder, where r is the distance to the symmetry axis. Hint: Think of this system as many layers of solenoid and apply Ampere's law.
A cylinder of radius R and length L, with R« L, carries a uniform volume charge density p. The cylinder rotates about its symmetry axis with a constant angular velocity w. (a) Find the electric field for both inside (r < R) and outside (r > R) the cylinder, where r is the distance to the symmetry axis. L (b) Find the magnetic field both inside (r < R) and outside (r > R) the cylinder, where r is the distance to the symmetry axis. Hint: Think of this system as many layers of solenoid and apply Ampere's law.
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Transcribed Image Text:A cylinder of radius R and length L, with R« L, carries a uniform volume charge
density p. The cylinder rotates about its symmetry axis with a constant angular
velocity w.
(a) Find the electric field for both inside (r < R) and outside (r > R) the
cylinder, where r is the distance to the symmetry axis.
L
(b) Find the magnetic field both inside (r < R) and outside (r > R) the cylinder,
where r is the distance to the symmetry axis. Hint: Think of this system as
many layers of solenoid and apply Ampere's law.
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