An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is ‘a’ and distance of its center from the wire is d (d >> a). If the loop applies a force ‘F’ on the wire then:

\({\rm{F}} \propto \left( {\frac{{\rm{a}}}{{\rm{d}}}} \right)\)

\({\rm{F}} \propto \left( {\frac{{{{\rm{a}}^2}}}{{{{\rm{d}}^3}}}} \right)\)

\({\rm{F}} \propto {\left( {\frac{{\rm{a}}}{{\rm{d}}}} \right)^2}\)

An infinitely long current carrying wire and a small current carrying

1.	An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is ‘a’ and distance of its center from the wire is d (d >> a). If the loop applies a force ‘F’ on the wire then:
A.	F = 0
B.	\({\rm{F}} \propto \left( {\frac{{\rm{a}}}{{\rm{d}}}} \right)\)
C.	\({\rm{F}} \propto \left( {\frac{{{{\rm{a}}^2}}}{{{{\rm{d}}^3}}}} \right)\)
D.	\({\rm{F}} \propto {\left( {\frac{{\rm{a}}}{{\rm{d}}}} \right)^2}\)
Answer» E.

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An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is ‘a’ and distance of its center from the wire is d (d >> a). If the loop applies a force ‘F’ on the wire then:

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