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It was shown in Example 21.11 (Section 21.5) in the textbook that the electric field due to an infinite line of charge is perpendicular to the line and has magnitude

E= λ/2πε

_{0}r. Consider an Imaginary cylinder with a radlus of r =0.245 m and a length of*l*=0.465 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ = 5.40 μC/m.*Part A What is the electric flux through the cylinder due to this infinite line of charge?*

*Part B What is the flux through the cylinder if Its radlus is increased to r=0.560 m?*

*Part C What is the flux through the cylinder if its length is increased to l=0.855 m?*

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♦ Relevant knowledge

The electric flux can be described as a measurement of the electric field, and is measured through the Gauss law. The electric field lines that are formed by the surface are mathematically equivalent to the product of the vector dot of the electric field regular and the area of the surface.

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