Which answer is closest to the induced emf on the tsetse fly...

Which answer is closest to the induced emf on the tsetse fly coil during the $90^{\circ}$ turn?
(a) $6 \times 10^{-2} \mathrm{V}$
(b) $1 \times 10^{-4} \mathrm{V}$
(c) $4 \times 10^{-6} \mathrm{V}$
(d) $2 \times 10^{-7} \mathrm{V}$

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Key Concepts

Faraday's Law of Electromagnetic Induction

This fundamental law of electromagnetism states that a change in magnetic flux through a circuit induces an electromotive force (emf) in that circuit. The law is mathematically expressed as emf = -d?/dt, where ? is the magnetic flux. This principle is crucial in determining how varying magnetic fields, due to rotational motion or time-dependent changes, generate an induced voltage in coils.

Magnetic Flux

Magnetic flux is the measure of the quantity of magnetic field penetrating a given area. It is defined as the dot product of the magnetic field and the area vector. Changes in the orientation or magnitude of the field relative to the coil surface result in variations of the flux, which in turn leads to an induced emf according to Faraday's law.

Rotational Motion in Electromagnetic Induction

In scenarios where a coil rotates within a magnetic field, the angle between the magnetic field and the normal to the coil's surface changes. This change alters the magnetic flux linked with the coil over time, thereby inducing an emf. The specifics of the rotation, such as the angle (e.g., a 90° turn), and the rate at which this rotation occurs are critical factors in calculating the magnitude of the induced emf.

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