1.

The figure shows two infinite semi-cylindrical shells: shell-1 and shell-2. Shell-1 carries current\[{{i}_{1}}\], in inward direction normal to the plane of paper, while shell-2 carries same current\[{{i}_{1}}\], in opposite direction. A long straight conductor lying along the common axis of the shells is carrying current\[{{i}_{2}}\]in direction same as that of current in shell-1. Force per unit length on the wire is

A. zero
B. \[\frac{{{\mu }_{0}}{{i}_{1}}{{i}_{2}}}{2\pi r}\]
C. \[\frac{2{{\mu }_{0}}{{i}_{1}}{{i}_{2}}}{\pi r}\]
D. \[\frac{2{{\mu }_{0}}{{i}_{1}}{{i}_{2}}}{{{\pi }^{2}}r}\]
Answer» E.


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