A circular area with a radius of 6.10 cm lies in the zy-plane. What is the magni

Question

A circular area with a radius of 6.10 cm lies in the zy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field with a magnitude of 0.280 T in the +z direction? phi_B = What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.280 T), now at an angle of 52.4 degree from the +z-direction? phi_B = What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.280 T), now in the + y-direction? phi_B =

Explanation / Answer

a.

Flux = (B·dA)

Flux = BA cos() = (0.280 T)((0.061 m)2) cos(0°) = 3.273 x 10-3 Wb

b.

Flux = BA cos() = (0.280 T)((0.061 m)2) cos(52.4°) = 1.997 x 10-3 Wb

c.

Flux = BA cos() = (0.270 T)((0.0650 m)2) cos(90°) = 0 Wb

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