An emf is induced by rotating a 1000 -turn, 20.0 cm diameter coil in the Earth's 5.00 ×10^-5 T m

step 1 Problem 11. We have to find EMF produce in a coil which is rotated in a magnetic field of the ea

An emf is induced by rotating a 1000 -turn, 20.0 cm diameter...

An emf is induced by rotating a 1000 -turn, 20.0 $\mathrm{cm}$ diameter coil in the Earth's $5.00 \times 10^{-5} \mathrm{T}$ magnetic field. What average emf is induced, given the plane of the coild. originally perpendicular to the Earth's field and is rotated to be parallel to the field in 10.0 $\mathrm{ms} ?$

Key Concepts

Rotation of a Coil and Change in Orientation

Rotating a coil in a magnetic field alters its orientation relative to the direction of the magnetic field, thereby changing the magnetic flux through the coil. A rotation from a position of maximum flux to one of zero flux results in a significant change in flux, which, over a given time interval, leads to the generation of an emf as explained by Faraday's law.

Number of Turns in a Coil

When a coil has multiple turns, the total emf induced in the coil is the sum of the emfs induced in each individual turn. This means that the net emf is multiplied by the number of turns, enhancing the sensitivity and effectiveness of the coil in applications like transformers and generators.

Faraday's Law of Electromagnetic Induction

This fundamental principle states that a changing magnetic flux through a circuit induces an electromotive force (emf) in the circuit. The induced emf is proportional to the rate at which the magnetic flux through the circuit changes, forming the basis for the operation of generators and many electromagnetic devices.

Magnetic Flux

Magnetic flux is a measure of the quantity of magnetism, taking into account the strength and the extent of a magnetic field passing through a given area. It depends on the magnetic field strength, the area exposed to the field, and the cosine of the angle between the field and the normal to the surface.

Transcript

Please give Ace some feedback