A circular area with a radius of 7.10 cm lies in the x - y plane. Part A What is

Question

A circular area with a radius of 7.10 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 = 0.242 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 = 0.242 T that points at an angle of 52.7 from the +z direction?

Part C
What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.242 T that points in the +y direction?

Explanation / Answer

A) area, A = pi r^2 = pi x 0.071^2 = 0.0158 m^2

magnetic field, B = 0.242 T

magnetic flux = B.A = |B||A| cos@

@ is the angle between Area and field vector.

@ = 0 deg

flux = 0.0158 x 0.242 x cos0 = 3.82 x 10^-3 T m^2

B) @ = 52.7 deg

flux = 0.0158 x 0.242 x cos52.7 = 2.32 x 10^-3 T m^2

C) @ = 90

and cos90 = 0

flux = 0

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