Which of the following could double the emf produced when...

Which of the following could double the emf produced when the fly turns. $90^{\circ}$ ?
(a) Double the number of turns in the coil.
(b) Double the coil's area.
(c) Double the magnitude of the external magnetic field.
(d) Get the tsetse fly to take twice as long to turn.
(e) a, b, and c

Key Concepts

Magnitude of the External Magnetic Field

The strength of the external magnetic field is directly related to the magnetic flux through the coil. An increase in the magnetic field’s magnitude increases the flux, which in turn can produce a higher induced emf according to Faraday's law, assuming the rate of change of the field remains the same.

Faraday's Law of Electromagnetic Induction

This fundamental principle states that an emf is induced in a circuit whenever there is a change in the magnetic flux through the circuit. The law shows that the magnitude of the induced emf is directly proportional to the rate at which the flux changes, which can be affected by factors such as the coil’s number of turns, area, and the strength of the magnetic field.

Magnetic Flux

Magnetic flux is the product of the magnetic field strength, the area it penetrates, and the cosine of the angle between the field and the perpendicular (normal) to the area. It quantifies the amount of magnetic field passing through a coil, and any change in flux over time results in the induction of an emf.

Coil Parameters (Number of Turns and Area)

The coil’s physical properties, including the number of turns and the area of the coil, directly influence the magnetic flux linked with the coil. Doubling either the number of turns or the area leads to a proportional increase in the total magnetic flux, thereby increasing the induced emf if the rate of flux change remains constant.

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