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A circular coil (910 turns, radius = 0.077 m) is rotating in a uniform magnetic

ID: 1465097 • Letter: A

Question

A circular coil (910 turns, radius = 0.077 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 = 0.016 s, the normal makes an angle of 45o 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.

A circular coil (910 turns, radius = 0.077 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 = 0.016 s, the normal makes an angle of 45o 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.



Explanation / Answer

B = Et / Nr^2cos(45)

= (.065V) X (.016s) / 910 (.077 m)^2 cos(45)


= 0.00104 / 11.9833 = 8.679 e-5 T

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