Question 11/05

POLARIZABLE PAIR OF WIRES

A system consists of two very long parallel conducting circular wires touching each other of radia a (see the cross section in the picture). Find the two-dimensional polarizability of the system in the plane perpendicular to the axes of the wires. Consider the cases with electric field is parallel to the line connecting the centers of the circles (in the cross section) and perpendicular to that direction.

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