A circular area with a radius of 7.00cm lies in the xy-plane. What is the magnit

Question

A circular area with a radius of 7.00cm lies in the xy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field with a magnitude of 0.250T in the + z -direction? What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.250T ). now at an angle of 54.4degree from the + z -direction? What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magntiude of 0.250T ), now in the + y -direction?

Explanation / Answer

A)

r= 7cm

so area= 3.14*72/10000=1.54 *10-2m2

so flux= B.A= B*A* cos(0)= 0.25*1.54*10-2=3.85*10-3Wb

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B)

Angle = 54.4 0

so now flux= B.A= B*A* cos(54.4)=2.24*10-3 Wb

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C)

B.A

here angle= 90

so B.A= BA cos(90)= 0

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