A uniform, constant magnetic field B is directed at an angle of 45 to the x axis in the xy-plane. PQRS is s rigid, square wire frame carrying a steady current I0, with its centre at the origin O. At time t = 0, the frame is at rest n the position as shown in Figure, with its sides parallel to the x and y axes. Each side of the frame is of mass M and length L.(a) What is the torque τ about O acting on the frame due to the magnetic field ?(b) Find the angle by which the frame rotates under the action of this torque in a short interval of time ∆t, and the axis about this rotation occurs. (∆t is so short that any variation in the torque during this interval may be neglected.) Give : the moment of inertia of the frame about an axis through its centre perpendicular to its plane is 4/3 ML2
Shane Macguire , 10 Years ago
Grade upto college level