NEET-XII-Physics

04: Moving Charges And Magnetism

  • #9
    A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30° with the direction of a uniform horizontal magnetic field of magnitude 0.80 T. What is the magnitude of torque experienced by the coil?
    Ans : Length of a side of the square coil, l = 10 cm = 0.1 m

    Current flowing in the coil, I = 12 A

    Number of turns on the coil, n = 20

    Angle made by the plane of the coil with magnetic field, θ = 30°

    Strength of magnetic field, B = 0.80 T

    Magnitude of the magnetic torque experienced by the coil in the magnetic field is given by the relation,

    τ = n BIA sinθ

    Where,

    A = Area of the square coil

    l × l = 0.1 × 0.1 = 0.01 m2

    ∴ τ = 20 × 0.8 × 12 × 0.01 × sin30°

    = 0.96 N m

    Hence, the magnitude of the torque experienced by the coil is 0.96 N m.