A circular area with a radius of 6.20 cm lies in the x-y plane. A. What is the m

Question

A circular area with a radius of 6.20 cm lies in the x-y plane.

A.
What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field
B = 0.211 T that points in the +z direction?

B.
What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.211 T that points at an angle of 52.2 from the +z direction?

C.
What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.211 T that points in the +y direction?

Explanation / Answer

Magnetic Flux = BAcos

B= 0.211 T

A = r2= 3.14 x 6.2 x 10-2)2

= 0.01207 m2

is the angle between surface normal vector and the direction of magnetic field

A)

= BAcos0

= 0.211 x 0.01207 x 1

= 0.00254677 Wb

= 2.55 x 10-3 Wb

B)

= BAcos52.2

= 0.211 x 0.01207 x 0.6129

= 0.0015609 Wb

= 1.56 x 10-3 Wb

C)

= BAcos0

= 0.211 x 0.01207 x 0

= 0 Wb

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