A 19.0 cm diameter wire coil is initially oriented so that its plane is perpendi

Question

A 19.0 cm diameter wire coil is initially oriented so that its plane is perpendicular to a magnetic field of 0.61 T pointing up. During the course of 0.26 s , the field is changed to one of 0.30 T pointing down.

What is the average emf induced in the coil?

A 19.0 cm diameter wire coil is initially oriented so that its plane is perpendicular to a magnetic field of 0.61 T pointing up. During the course of 0.26 s , the field is changed to one of 0.30 T pointing down.

What is the average emf induced in the coil?

Explanation / Answer

Lenz's Law says that the e.m.f. produced in a conducting loop by a changing magnetic field is

e.m.f. = A n • dB_/dt
where A is the area of the loop, and n is the unit normal vector to it.

e.m.f. = (0.095 m)² * (0.61 - (-0.30))T / 0.26 s = 0.099 V

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