What average emf (in volts) is induced, given the plane of the coil is originally perpendicular to the Earth’s field and is rotated to be parallel to the field in 8 ms?
Question
What average emf (in volts) is induced, given the plane of the coil is originally perpendicular to the Earth’s field and is rotated to be parallel to the field in 8 ms?
Solution
To answer this question, we need more information such as the number of turns in the coil, the area of the coil, and the magnetic field strength. However, I can provide the formula to calculate the average emf (electromotive force) induced in a coil when it is rotated in a magnetic field.
The average emf can be calculated using Faraday's law of electromagnetic induction, which states that the induced emf in a coil is equal to the rate of change of magnetic flux.
The formula is:
emf = -N * ΔΦ/Δt
where:
- N is the number of turns in the coil,
- ΔΦ is the change in magnetic flux,
- Δt is the time it takes for the change to occur.
In this case, the coil is rotated from being perpendicular to the field (where the magnetic flux is maximum) to being parallel to the field (where the magnetic flux is zero). So, the change in magnetic flux (ΔΦ) is the maximum magnetic flux (which is B*A when the coil is perpendicular to the field) minus zero (which is the magnetic flux when the coil is parallel to the field).
So, the formula becomes:
emf = -N * B * A / Δt
where:
- B is the magnetic field strength,
- A is the area of the coil.
Once you have all the values, you can substitute them into the formula to find the average emf.
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