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April 10, 2021

An infinitely long cylinder,

General Questions

An infinitely long cylinder, radius a, carries a current I, distributed uniformly over its cross-sectional area. The axis of the cylinder coincides with the z-axis.

a) Calculate the force per unit length exerted by the y > 0 half of the cylinder on the y < 0 half of the cylinder.

b) Is the force attractive or repulsive?

c) What is the magnitude of this force for a one meter length of wire 1 mm in diameter carrying a current of 10 A?

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