Step 1: Understanding the Torque on a Current-Carrying Coil
When a current-carrying coil is placed in a uniform magnetic field, the magnetic force on the coil produces a torque that tends to rotate the coil.
The magnitude of the torque is greatest when the magnetic field is perpendicular to the plane of the coil.
Step 2: Why Other Options are Incorrect
Option (a) is incorrect because the coil will not rotate in just any orientation.
The torque produced depends on the angle between the magnetic field and the coil's plane.
Option (b) is incorrect because if the magnetic field is parallel to the plane of the coil, no torque will be produced.
Option (c) is incorrect because while a 45° angle will produce some torque, it is not the maximum torque.
Step 3: Conclusion
The coil will rotate most effectively when the magnetic field is perpendicular to its plane, maximizing the torque.