A square of side L metre lies in the XY plane in a region, where the magnetic field is B = B₀ (2i + 3j + 4k), where B₀ constant. The magnitude of flux passing through the square is (a) 2B₀L² Wb (b) 3B₀L² Wb (c) 4B₀L² Wb (d) √(29) B₀L² Wb

Answer: (c). Square in the XY plane: area vector A = L²k. φ = B = B₀(2i + 3j + 4k)· L²k = 4B₀L² Only the z -component of B crosses the square. So the answer is (c) 4B₀L² Wb.

A square of side L metre lies in the XY plane in a region, where the… | MHT CET 2026 (14 May, Shift 2)

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Magnetic Flux & Faraday's Law

A square of side L metre lies in the XY plane in a region, where the magnetic field is $\vec{B} = B_0\,(2\hat{i} + 3\hat{j} + 4\hat{k})$ , where $B_0$ constant. The magnitude of flux passing through the square is

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Answer: (c)

Square in the XY plane: area vector $\vec{A} = L^2\hat{k}$ .
$\phi = \vec{B}\cdot\vec{A} = B_0(2\hat{i} + 3\hat{j} + 4\hat{k})\cdot L^2\hat{k} = 4B_0L^2$
Only the $z$ -component of $\vec{B}$ crosses the square.
So the answer is (c) $4B_0L^2$ Wb.

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