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A particle with charge q is at the origin: Determine the path and center and radius of any circles

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See attached file for proper format of formulas.

2. An infinite cylinder of radius a, with dielectric constant 0 has its axis along the z-axis. There is a uniform electric field 0 a large distance from the cylinder.

(a) Find the electric field everywhere inside and outside the cylinder.
(b) Find the bound charge density on the surface of the cylinder
(c) Draw a field line diagram showing the electric field everywhere.

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The expert determines the path and center radius of any circles. With full formulas, calculations and explanations, the problem is solved.

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Please see the attached file.

2. An infinite cylinder of radius a, with dielectric constant 0 has its axis along the z-axis. There is a uniform electric field 0 a large distance from the cylinder.

(a) Find the electric field everywhere inside and outside the cylinder.
(b) Find the bound charge ...

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