The induced emf in a coil rotating in a uniform magnetic field depend ...
Explanation:
The induced emf in a coil rotating in a uniform magnetic field depends on three factors: the total number of turns in the coil, the magnetic field, and the area of the coil and speed of rotation. Let's discuss each factor in detail:
Total number of turns in the coil:
The induced emf in a coil is directly proportional to the total number of turns in the coil. This is because each turn of the coil contributes to the total magnetic flux passing through it. When the coil rotates, the rate at which the magnetic flux changes is directly proportional to the number of turns. Therefore, increasing the number of turns will result in a higher induced emf.
Magnetic field:
The induced emf in a coil is directly proportional to the magnetic field strength. A stronger magnetic field will result in a higher rate of change of magnetic flux when the coil rotates, leading to a higher induced emf. On the other hand, a weaker magnetic field will result in a lower induced emf.
Area of the coil and speed of rotation:
The induced emf in a coil is directly proportional to the product of the area of the coil and the speed of rotation. When the coil rotates, the change in magnetic flux depends on the rate at which the area enclosed by the coil changes. This is determined by both the area of the coil and the speed of rotation. A larger area or a higher speed of rotation will result in a higher induced emf.
Conclusion:
In conclusion, the induced emf in a coil rotating in a uniform magnetic field depends on the total number of turns in the coil, the magnetic field strength, and the product of the area of the coil and the speed of rotation. Therefore, the correct answer is option 'D' - all of the above.