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Three wires each of length 2*0m are bent...

Three wires each of length `2*0m` are bent into different rectangular loops and then suspended in a magnetic field, figure. If the current in each of them be the same, which loop shall be acted upon by largest torque? If any of the wires be bent into circular loop, then?

Text Solution

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Torque `(tau)` on a current loop suspended in a uniform magnetic field is given by `tau=IAB sin alpha`, i.e., `taupropA`. Since the area of loop `(c)=0*5mxx0*5m` is maximum, hence the largest torque will be acting on loop (c). When any wire is bent into a circular loop, the torque will be even more because for a given perimeter the area of the circle is maximum.
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