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zd1899
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Q)An infinitely long current carrying wire , carrying current I moving towards positive Y is placed along Y-axis. In the X-Y plane , a circular loop of radius 'r' is placed at a distance 'r' from the wire carrying current 'i' in anticlockwise circulation. Find the force exerted by the infinite wire on the loop.
Acc. to me the only equation required should be
dF=i {dlxB} where B is the magnetic field due to the infinitely long wire at the length element dl which is to be integrated .
dF=i{dlxB}
dF= (i*U*I/2pi) * 1/r *dl (assuming dl to be a small length element on the loop.
where r is the distance of dl.
i replaced dl by rd$ where $ is the small angle and now wished to integrate along $ from 0 to 2pi but B has a dependence on 'r' only as it decreases along X axis. so i am stuck on how to integrate B along with d$.
Homework Equations
Acc. to me the only equation required should be
dF=i {dlxB} where B is the magnetic field due to the infinitely long wire at the length element dl which is to be integrated .
The Attempt at a Solution
dF=i{dlxB}
dF= (i*U*I/2pi) * 1/r *dl (assuming dl to be a small length element on the loop.
where r is the distance of dl.
i replaced dl by rd$ where $ is the small angle and now wished to integrate along $ from 0 to 2pi but B has a dependence on 'r' only as it decreases along X axis. so i am stuck on how to integrate B along with d$.