Problem 21.07 A closely wound rectangular coil of 100 turns has dimensions of 26

Question

Problem 21.07

A closely wound rectangular coil of 100 turns has dimensions of 26.0cm by 43.0cm . The plane of the coil is rotated from a position where it makes an angle of 39.0? with a magnetic field of 2.00T to a position perpendicular to the field. The rotation takes 0.120s .

Part A

What is the average emf induced in the coil?

Problem 21.07

A closely wound rectangular coil of 100 turns has dimensions of 26.0cm by 43.0cm . The plane of the coil is rotated from a position where it makes an angle of 39.0? with a magnetic field of 2.00T to a position perpendicular to the field. The rotation takes 0.120s .

Part A

What is the average emf induced in the coil?

Explanation / Answer

the e.m.f E generated between the ends of the coil is:

E = -d(?)/dt = -d(BANcos?)/dt

integrating this

E = BAN?sin? = BAN?sin(?t)

w = theta / time = [90 - 39] x pi / 180 x 0.12 = 7.42 rad/s

E = 2 x 100 x 0.11 x 7.42 x [sin 90 - sin 39]

E = 61.5 V

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