A closely wound rectangular coil of 80.0 turns has dimensions of 29.0 cm by 50.0

Question

A closely wound rectangular coil of 80.0 turns has dimensions of 29.0 cm by 50.0 cm . The plane of the coil is rotated from a position where it makes an angle of 37.0 with a magnetic field of 1.80 Tto a position perpendicular to the field. The rotation takes 0.100 s .

Part A

What is the average emf induced in the coil?

A closely wound rectangular coil of 80.0 turns has dimensions of 29.0 cm by 50.0 cm . The plane of the coil is rotated from a position where it makes an angle of 37.0 with a magnetic field of 1.80 Tto a position perpendicular to the field. The rotation takes 0.100 s .

Part A

What is the average emf induced in the coil?

Explanation / Answer

From Faraday law of induction formula for induced emf is

= -N/t

magnetic flux can be expressed

= BAcos

= -N(f-i/t

i = (1.8T)(0.29m*0.5m)*cos(90-37) = 0.157Tm^2

f = (1.8T)(0.29m*0.5m) cos o = 0.261Tm^2

= (80)(0.261Tm^2 - 0.157Tm^2)/(0.1s)

= 83.2V

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