A square current loop lays flat in the x-y plane having its sides parallel to the x and y axes. The side of the square is a. The current flowing in the loop is I, in the CCW direction as observed from above. A uniform magnetic field B = B(i/sqrt(2) + k/sqrt(2) is exerted to the loop. (With B in the formula as Bo, i being i hat and k being k hat)
i) Determine the magnetic force (magnitude and direction) on each and every side of the loop. Verify that the sum of the four forces equivalent zero.
ii) Determine the torque (magnitude and direction) on the current loop.