A circular area with a radius of 7.80cm lies in the x - y plane. What is the mag

Question

A circular area with a radius of 7.80cm lies in the x -y plane.

What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.241T that points in the +z direction?

What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.241T that points at an angle of 52.7? from the +z direction?

What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.241T that points in the +y direction?

Explanation / Answer

Magnetic flux = magnetic field * area of the circle * cos ( theta)

theta = angle between aarea vector and Magnetic field vector

Magnetic Flux = 0.241 * pi * (7.8*10^(-2))^2 * cos (0) = 0.0046 Tesla / m^2

(b):

similarly

Magnetic Flux = 0.241 * pi * (7.8*10^(-2))^2 * cos (52.7) = 0.0028 Tesla / m^2

(c):

Magnetic Flux = 0.241 * pi * (7.8*10^(-2))^2 * cos (90) = 0 Tesla / m^2

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