Question #186871

Solve for the magnetic flux through a loop with an area of 8.5 ✕ 10 -4 m2 found perpendicular to a magnetic field with magnitude 0.75 T.


Expert's answer

For the flat surface the magnetic flux is equal to Φ=BS=BScosθ,\Phi = \vec{B}\cdot\vec{S} = BS\cos \theta, where θ\theta is the angle between the magnetic field lines and the normal (perpendicular) to the surface.

In our case the magnetic field is perpendicular to the surface, so θ=0,  cosθ=0\theta = 0,\; \cos\theta = 0 and Φ=BS=0.75T8.5104m2=6.375104Wb\Phi = BS = 0.75\,\mathrm{T}\cdot 8.5\cdot10^{-4}\,\mathrm{m^2} = 6.375\cdot10^{-4}\,\mathrm{Wb} .


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