Question

A closely wound rectangular coil of 80 turns has dimensions 25.0student submitted image, transcription available belowby 40.0student submitted image, transcription available below. The plane of the coil is rotated from a position in which it makes an angle of 37.0 degrees with a magnetic field of 1.10student submitted image, transcription available belowto a position perpendicular to the field. The rotation takes 0.0600student submitted image, transcription available below. What is the average emfstudent submitted image, transcription available belowinduced in the coil? What is the magnitude of the average emf E induced as the coil is rotated? E= ________ V

Answer 1

The average induced emf in a rotating coil can be calculated through Faraday's law of electromagnetic induction. This involves calculating the change in magnetic flux due to the coil's rotation and dividing this value by the time it took for the rotation.

Step-by-step explanation:

To calculate the average induced electromotive force (emf) in the coil, we must make use of Faraday's law of electromagnetic induction. This law stipulates that the induced emf in a coil is equal to the rate of change of magnetic flux through it. In this case, the coil is rotated from an initial angle of 37.0 degrees to perpendicular to the magnetic field, thus changing the magnetic flux.

The magnetic flux through a coil of N turns, area A, and angle θ to the magnetic field is given by Φ = NBA cosθ. Due to the rotation, the flux change ∆Φ = NBA cos(90) - NBA cos(37). To find the average induced emf, we divide the flux change by the time it took for the change, t. Therefore, the average emf E= ∆Φ/t.

By substitifying the provided values into this equation, you can calculate the average induced emf as the coil is rotated.

Learn more about Electromagnetic Induction