Aclosely wound rectangular coil of 80 turns has dimensions of 25.0 cm by 40.0 cm. the plane of the coil is rotated from a position where it makes an angle of 41.0 ∘ with a magnetic field of 1.50 t to a position perpendicular to the field. the rotation takes 0.0800 s .part awhat is the average emf induced in the coil? express your answer with the appropriate units.

Explanation:

1) Notation and data given

N= 80 represent the turns

B=1.5 T represent the magnetic field

Dimensions =25cm x40cm

° represent the angle respect to the plpane of the coil

° since we need the angle respect to the magnetic field

° since the final position is perpendicular to the field.

represent the final flux through the coil

represent the initial flux through the coil

represent the induced emf, known as "electromagnetic induction" and is defined as "the production of voltage in a coil because of the change in a magnetic flux through a coil" (Variable of interest).

2) Formulas to use

We can begin calculating the area given by:

We can use the formula for the average magnitude when we have an induced emf, given by:

  (1)

We have another formula for the flux through the coil given by:

Replacing this into equation (1) we got:

  (2)

3) Calculate the final answer

Now we can replace all the values given into equation (2) like this:

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