A planar loop is placed in a uniform magnetic field. The magnetic flux linked with the loop is exactly half of the maximum possible magnetic flux that can be linked with it in that field. The angle between the direction of the magnetic field and the plane of the loop is:

Step-by-step solution

The magnetic flux linked with a loop is given by = BA , where is the angle between the magnetic field and the normal to the plane of the loop. The maximum possible flux is _ max = BA (which occurs when = 0^ ). Given that the current flux is half of the maximum flux: = 1 2 _ max BA = 1 2 BA = 1 2 = 60^ This is the angle between the magnetic field and the normal to the loop. The question asks for the angle between the magnetic field and the plane of the loop, which is: 90^ - = 90^ - 60^ = 30^ Answer: 30^