A circular area with a radius of 7.90cm lies in the x-y plane. A) What is the ma

Question

A circular area with a radius of 7.90cm 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 = 0.243T that points in the +z direction? ?B =___Wb

B)What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.243T that points at an angle of 52.5? from the +z direction? ?B =_ Wb

C) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.243T that points in the +y direction?   ?B =____Wb

Explanation / Answer

(A)

Magnetic field B and area A are parallel, so the flux is

? = B . A = BA cos0 = BA =  (0.243) ? (0.079 m )2??= 4.5879 x 10-3 Wb

Round off the result to 3 significant digits

? = 4.59 x 10-3 Wb

(or)

= 4.59 mWb

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(B) In this case, the magnetic flux is

? = BA cos52.5o =  (0.243)  ? (0.079 m )2 cos 52.5o

? = 2.79 x 10-3 Wb

(or)

= 2.79 mWb

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(C) In this case, B and A are perpendicular, so the flux is

? = BA cos 90o =  (0.243)  ? (0.079 m )2 cos 90o = 0

(since cos 90o = 0 )

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