(i) Provide the reason of rotation, and derive the expression for angular velocity of the cylinder...

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(i) Provide the reason of rotation, and derive the expression for angular velocity of the cylinder for given case. We have an infinite line charge of charge having density - . It is surrounded by an insulating cylindrical surface of radius a having a surface charge density o =+2/2ra , so that the net charge of the system is zero. The cylinder can freely rotate about the z axis, which coincides with the line charge. Because of Gauss's law, the electric field exists only within the cylinder. The system is initially at rest, and is immersed in a uniform magnetic field B= B,2 along the z axis. If the magnetic field is now reduced to zero, the cylinder will be found to rotate. (i) Provide the reason of rotation, and derive the expression for angular velocity of the cylinder for given case. We have an infinite line charge of charge having density - . It is surrounded by an insulating cylindrical surface of radius a having a surface charge density o =+2/2ra , so that the net charge of the system is zero. The cylinder can freely rotate about the z axis, which coincides with the line charge. Because of Gauss's law, the electric field exists only within the cylinder. The system is initially at rest, and is immersed in a uniform magnetic field B= B,2 along the z axis. If the magnetic field is now reduced to zero, the cylinder will be found to rotate.

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The change in the magnetic field which is along the zaxis as ... View the full answer