Question Detail
Question
According to Faraday's law, which of the following changes will produce an emf in a coil of wire?
Correct Answer
Option D is the correct answer.
Detailed Explanation
Faraday's Law of Induction states that an electromotive force (emf) is induced in a circuit whenever there is a change in the magnetic flux (Φ_B) through the circuit. Magnetic flux is given by Φ_B = B A cos(φ), where B is the magnetic field strength, A is the area of the coil, and φ is the angle between the magnetic field vector and the normal to the coil's area.Therefore, an emf can be induced if:1. The magnetic field strength (B) changes (e.g., decreased, as in option A).2. The area (A) of the coil changes (e.g., increased, as in option B).3. The angle (φ) between the magnetic field and the normal to the coil's area changes (e.g., decreased, as in option C).All the listed changes (A, B, C) will cause a change in magnetic flux, thus inducing an emf.
Hint
Recall Faraday's Law, which states that induced EMF is proportional to the rate of change of magnetic flux. Magnetic flux depends on B, A, and the orientation (angle).