Question #324638

A rectangular surface with horizontal dimensions of 4.0 cm and 5.0 cm is found in a uniform magnetic field directed at a 40° angle above the horizontal. Calculate the magnitude of the magnetic field that will yield a flux equivalent to 6.17 ✕ 10 -4 Wb.


1
Expert's answer
2022-04-06T13:59:46-0400

Given:

A=4.0cm×5.0cm=0.002m2A=\rm 4.0\: cm\times 5.0\: cm=0.002\: m^2

θ=9040=50\theta=90^\circ-40^\circ=50^\circ

Φ=6.17×104Wb\Phi=6.17 \times 10^{-4}\:\rm Wb


The magnitude of magnetic field

B=ΦAcosθB=\frac{\Phi}{A\cos\theta}

B=6.17×1040.002cos50=0.48TB=\frac{6.17 \times 10^{-4}}{0.002*\cos50^\circ}=0.48\:\rm T


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