A 0.20-T magnetic field is directed perpendicular to the plane of a circular loop of radius 0.40 m. What is the magnitude of the magnetic flux through the loop?

Question

A 0.20-T magnetic field is directed perpendicular to the plane of a circular loop of radius 0.40 m. What is the magnitude of the magnetic flux through the loop?

a) 0.049 Wb

b) 0.1 Wb

c) 0.28 Wb

d) 0.52 Wb

e) zero Wb

Answer 1

The magnetic flux through a surface (such as the plane of a circular loop) is the total "amount" of magnetic field going through that surface. If the magnetic field is constant everywhere and the field is perpendicular to the loop, then Flux = Field x Area.

Area of the plane of the loop = Area of circle = πr² = π x 0.40² = 0.503 m².

Flux = Field x Area = 0.20 x 0.503 = 0.1 Wb (b)