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Magnetic Flux and Faraday's Law

A loop ABCDEF...

Question

A loop $A B C D E F A$ of straight edges has six corner points A(0,0,0), B(5,0,0), C(5,5,0), D(0,5,0), E(0,5,5), F(0,0,5). The magnetic field in this region is $\to B$ = $(3^i + 4^k) T$ . The quantity of flux through the loop $A B C D E F A$ (in $W b$ ) is

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Solution

As we know, magnetic flux $= \to B \cdot \to A$
$\begin{matrix} ⟹ (B_{x} + B_{z}) \cdot (A_{x} + A_{z}) ⟹ (3^i + 4^k) \cdot (25^i + 25^k) ⟹ (75 + 100) W b ⟹ 175 W b \end{matrix}$

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