two pieces of the same wire have the same length from one piece asquare coil con

Question

two pieces of the same wire have the same length from one piece asquare coil containing a single loop is made from the other a cicular coil containing a single loop is made the coils carry different currents when placed in the same magnetic field with the sameorientation they experience the same torque what is the ratio of I squrare/ I circle of the current in the square coil to the current in thecircular coil? a cicular coil containing a single loop is made the coils carry different currents when placed in the same magnetic field with the sameorientation they experience the same torque what is the ratio of I squrare/ I circle of the current in the square coil to the current in thecircular coil?

Explanation / Answer

the torque experienced by the square coil is s = F * r = B * Is * ls* r * sin ---------(1) similarly,the torque experienced by the circular coilis c = B * Ic * lc * r *sin -----------(2) (1)/(2) (s/c) = (B * Is *ls * r * sin/B * Ic * lc * r* sin) or (s/c) = (Is *ls/Ic * lc) s = c or (Is * ls/Ic *lc) = 1 or (Is/Ic) =(lc/ls) lc = 2r,r is the radius of the circularcoil and ls = 4a,a is the side of the square

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