Two concentric, coplanar, circular loop of wire, with different diameter carry current in the same sense as shown in the figure. Which of the following statement(s) is/are correct?

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the magnetic force exerted by the outer loop on a short portion of the inner loop is radially inward

the magnetic force exerted by the outer loop on a short portion of the inner loop is radially outward

the net magnetic force exerted by the outer loop on a whole inner loop is non zero and is radially outward

the net magnetic force exerted by the outer loop on a whole inner loop is zero

answer is A, D.

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Detailed Solution

The magnetic field due to the outer loop is into the paper. The force on an element of the inner loop has the direction given by $\vec{d s} \times \vec{B}$ where $\vec{d s}$ is the element length in the direction of current. Thus the force is radially outward.
Since the force is symmetric, i.e. radially outwards everywhere and the loops are concentric, there is no net force on the inner loop.

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