A rotating cylinder in a magnetic field

Electricity and Magnetism Level 3

A neutral solid conducting cylinder rotates about its axis with angular speed \(1600~\mbox{rad/s}\). In addition, there is an external magnetic field of induction \(B\) directed along the cylinder's axis. What must the magnitude of the magnetic field in Teslas so that no electric field is created inside the conductor?

Hint: The material is originally neutral. If electric fields are created, then what would that imply about the distribution of the electrons in the metal?

Details and assumptions

The specific charge of the electron is \(e/m_{e}=1.76\times 10^{11}~\mbox{C/kg}\).


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