A conducting coil consisting of nturns of wire is placed in a uniform magnetic field of magnitude B= 1.69 T oriented in the positive y direction as shown in thefigure. The radius of the coil is R = 4.03 cm, and the anglebetween the magnetic field vector and the unit normal vector to thecoil is θ = 60.0°. The current through the coil is i = 3.75A. a) Calculate the number of turns, n, the coil must have for thetorque on the loop to be 2.97 N m. b) If the radius of the loop is decreased to R = 2.23 cm, whatshould the number of turns, N, be for the torque to remainunchanged? Assume that i, B, and θ stay the same.
