### Raw surface that conforms to symmetry of the problem

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A very long cylinder with radius 5.54 cm has a uniform density of charges throughout it. If the charge density in the cylinder is 1,304 nC/m3 (nanoCoulombs per cubic meter). Inside the cylinder, for distances x (less than the radius) from the center of the cylinder, the magnitude of the electric field is equal to A x^n, where the electric field is measured in N/C and x is measured in meters. What is the value of A? Write your answer to three significant figures. (Hint: draw a surface that conforms to the symmetry of the problem and use Gauss' Law.) what is the value of n?

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