A circular coil (950 turns, radius = 0.060 m) is rotating in a uniform magnetic field. At t = 0 s, the normal to the coil is perpendicular to the magnetic field. At t = 0.010 s, the normal makes an angle of ϕ = 45° with the field because the coil has made one-eighth of a revolution. An average emf of magnitude 0.065 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil.

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Chapter1: Units, Trigonometry. And Vectors
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A circular coil (950 turns, radius = 0.060 m) is rotating in a uniform magnetic field. At t = 0 s, the normal to the coil is perpendicular to the magnetic field. At t = 0.010 s, the normal makes an angle of ϕ = 45° with the field because the coil has made one-eighth of a revolution. An average emf of magnitude 0.065 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil.

If there is a diagram that can help me with understanding this problem better that would be awesome, thank you!

Expert Solution
Step 1

Given :

Number of turns in the coil, N=950

Radius of the coil, r=0.06 m

Time taken to rotate the coil, t=0.01 s

Angle of rotation, ϕ=450

Avg. induced voltage in the coil, Vavg=0.065 V

 

Determine :

Magnetic field (B) at the location of the coil.

 

Magnetic flux through a coil of area A :

Physics homework question answer, step 1, image 1

ϕ=BAcosθ

Induced voltage :

If the magnetic flux through the coil changes with  time then an Emf will be induced in the coil.

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