A coil in a magnetic field encloses a flux of 0.196 T·m² when the angle between the normal to the coil and the direction of the magnetic field is 62.0°.What flux would go through the coil if the angle were changed to 38.9°?

Question

Quizplus · Accepted Answer

The magnetic flux through a coil is given by the formula Φ = B*A*cos(θ), where Φ is the magnetic flux, B is the magnetic field strength, A is the area of the coil, and θ is the angle between the magnetic field and the normal to the coil. When the angle changes, the only variable that changes in the formula is θ. Since cos(62.0°) and cos(38.9°) are different, the flux will change proportionally to the cosine of the new angle. Given the initial flux at 62.0°, to find the new flux at 38.9°, we can set up a ratio based on the cosine values of the angles, indicating that the flux will increase as the angle decreases from 62.0° to 38.9°, leading to the correct answer being the one that shows an increase in flux, which is option D.

A Coil in a Magnetic Field Encloses a Flux of 0.196