A regular hexagone of side a. A wire of length 24 a is coiled on that hexagone. If current in hexagone is I, then find the magnetic moment.

Step-by-step solution

Let number of turns = n aligned & n 6 a=24 a & n=4 & aligned Magnetic moment, M = nIA = 4IA aligned & Area of hexagone = 1 2 a ^2 60^ + a 2 a 60^ & + 1 2 a ^2 120^ aligned = 3 4 a^2+ 3 a^2+ 3 a^2 4 = 6 3 a^2 4 = 3 3 a^2 2 Hence, magnetic moment =4 I ( 3 3 a^2 2 )=6 3 a^2