A small coil $C$ with $N = 200$ turns is mounted on one end of a balance beam and introduced between the poles of an electromagnet as shown in figure. The cross sectional area of coil is $A=1.0 c{m}^2$ , length of arm $OA$of the balance beam is $A = 30 cm$. When there is no current in the coil the balance is in equilibrium. On passing a current $I = 22 mA$ through the coil the equilibrium is restored by putting the additional counter weight of mass $∆m = 60 mg$ on the balance pan. Find the magnetic induction at the spot where coil is located.