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Physics-

General

Easy

Question

In the adjacent figure is shown a closed path $P.$ A long straight conductor carrying a current $I$ passes through $O$ and perpendicular to the plane of the paper. Then which of the following holds good?

$\int_{P} B . d l = 0$
$\int_{P} B . d l = μ_{0} I$
$\int_{P} B . d l > μ_{0} I$
None of these

The correct answer is: $not stretchy integral subscript P end subscript B. d l equals mu subscript 0 end subscript I$

A long straight conductor carrying current $I$ passes through $O comma$ then by symmetry, all points of the circular path are equivalent and hence the magnitude of magnetic field should be same at these points.
The circulation of magnetic field along the circle is
$not stretchy contour integral B. d l equals mu subscript 0 end subscript I$ (using Ampere’s law)

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