A current carrying loop is in the shape of an equilateral triangle of side length a. Its mass is M and it is in vertical plane. There exists a uniform horizontal magnetic field B in the region shown.
(a) The loop is in equilibrium for `y_(0) = sqrt(3)/ 4` a. Find the current in the loop.
(b) The loop is displaced slightly in its plane perpendicular to its side AB and released. Find time period of its oscillations. Neglect emf induced in the loop. Express your answer in terms of a and g.

Answer

`(a)I=(2Mg)/(aB)`
(b) `T=pisqrt(sqrt(3)a)/g`