A circular area with a radius of 7.20 cm lies in the x - y plane. Part A. What i

Question

A circular area with a radius of 7.20 cm lies in the x -y plane.

Part A.

What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.234 T that points in the +z direction?

Part B.

What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.234 T that points at an angle of 53.1 from the +z direction?

Part C.

What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.234 T that points in the +y direction?

Explanation / Answer

A)

The xy plane is perpendicular to the z axis meaning the flux is perpendicular to the xy plane. A tesla T is one weber

per square meter (w/m^2) so the flux through this circle is

flux = BA

flux = 0.234 w/m^2*pi*0.072^2 m^2

flux = 3.8 x 10^-3 w/m^2

flux = 3.8 x 10^-3 T

flux = 0.0038 T

B)

If the angle of the flux were 0 degrees with the z axis, like in the first question, all the flux would pass thru the circle.

If the angle were 90 degrees with the z axis, none would pass thru the circle. So

0.0038 x cos(53.1) = 0.00228 T

C)

0.0038 x cos(90) = 0 T

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