5) A magnetic field is perpendicular to the plane of a single-turn circular coil

Question

5)

A magnetic field is perpendicular to the plane of a single-turn circular coil. The magnitude of the field is changing, so that an emf of 0.70 V and a current of 3.1 A are induced in the coil. The wire is the re-formed into a single-turn square coil, which is used in the same magnetic field (again perpendicular to the plane of the coil and with a magnitude changing at the same rate). What emf and current are induced in the square coil?

emf________ V

current________ A

6)

You need to design a 60.0-Hz ac generator that has a maximum emf of 5765 V. The generator is to contain a 115-turn coil that has an area per turn of 0.83 m2. What should be the magnitude of the magnetic field in which the coil rotates?

_____________T

Explanation / Answer

1)

emf = 0.7*pi/4 = 0.55 V

current = 3.1*0.55/0.7 = 2.436 A

2)

B = V/(2*pi*f*N*A)

= 5765/(2*pi*60*115*0.83)

= 0.16 T

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