Moving Charges And Magnetism

A coil of 100 turns and area \(2 \times 10^{-2} \mathrm{~m}^2\) is pivoted about a vertical diameter in a uniform magnetic field and carries a current of \(5 \mathrm{~A}\). When the coil is held with its plane in North-South direction, it experiences a couple of \(0.33 \mathrm{~N}-\mathrm{m}\). When the plane is East-West, the corresponding couple is \(0.4 \mathrm{~N}-\mathrm{m}\). The value of magnetic induction is [Neglect earth's magnetic field]