First slide

Magnetic flux and induced emf

Question

A loop ABCDEFA 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) and F(0,0,5). The magnetic field in this region is $\vec{B} = (3 \hat{i} + 4 \hat{k}) T$ . The quantity of flux through the loop ABCDEFA (in Wb) is____.

Moderate

Solution

$ϕ = \vec{B} . \vec{A} = (3 \hat{i} + 4 \hat{k}) . (25 \hat{i} + 25 \hat{k}) \Rightarrow ϕ = (3 \times 25) + (4 \times 25) = 175 W b$

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