APFIVE Magnetic Flux in a Non-Uniform Field
A square loop of side length $$L = 0.2$$ m is positioned in the $$xy$$-plane with one corner at the origin and the opposite corner at $$(L,L,0)$$. The region is subject to a non-uniform magnetic field given by $$\vec{B} = (\alpha x^2)\hat{k}$$, where $$\alpha = 0.05$$ T/m². What is the magnetic flux through the loop?
A
1.33 × 10⁻⁴ Wb
B
2.67 × 10⁻⁵ Wb
C
4.00 × 10⁻⁴ Wb
D
6.67 × 10⁻⁵ Wb
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