6. A long aluminum cylinder of radius R is charged so that it has a uniform charge per unit length on its surface of 2. a) Find the electric field inside and outside the cylinder. b) Find the electric potential inside and outside the cylinder if the potential at distance 100R is zero. c) Plot electric field and electric potential as a function of distance from the center of the rod.

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Chapter1: Units, Trigonometry. And Vectors
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6. A long aluminum cylinder of radius R is charged so that it has a uniform charge per unit length on its surface
of 2.
a) Find the electric field inside and outside the cylinder.
b) Find the electric potential inside and outside the cylinder if the potential at distance 100R is zero.
c) Plot electric field and electric potential as a function of distance from the center of the rod.
Transcribed Image Text:6. A long aluminum cylinder of radius R is charged so that it has a uniform charge per unit length on its surface of 2. a) Find the electric field inside and outside the cylinder. b) Find the electric potential inside and outside the cylinder if the potential at distance 100R is zero. c) Plot electric field and electric potential as a function of distance from the center of the rod.
Expert Solution
Step 1

Given:

The radius of the cylinder is R.

The charge per unit length is λ.

Let l is the length of the cylinder, r is the radius of the imagine Gaussian surface and q is the charge enclosed.

The expression for charge enclosed is:

q=λl

Part (a)

The electric field inside the cylinder is zero as the charge inside the Gaussian surface is zero. 

Thus, the electric field inside the cylinder is:

Ei=0

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