Consider an infinitely long grounded metal cylinder, of radius R, placed at right angles to an applied uniform electric field Eo (for example, the axis of the cylinder is along the z direction, while Eo is in the x direction) a) Find the potential outside the cylinder. b) Find the surface charge density o induced on the surface of the cylinder. Hint: use the separation of variables method.

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It's an electromagnetic problem. 4

Consider an infinitely long grounded metal cylinder, of radius R, placed at right angles to an applied uniform electric field Eo (for example,
the axis of the cylinder is along the z direction, while Eo is in the x direction)
a) Find the potential outside the cylinder.
b) Find the surface charge density o induced on the surface of the cylinder.
Hint: use the separation of variables method.
Transcribed Image Text:Consider an infinitely long grounded metal cylinder, of radius R, placed at right angles to an applied uniform electric field Eo (for example, the axis of the cylinder is along the z direction, while Eo is in the x direction) a) Find the potential outside the cylinder. b) Find the surface charge density o induced on the surface of the cylinder. Hint: use the separation of variables method.
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