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# A square of side L metres lies in the x-y plane in a region, where the magnetic field is given by $B = B_o (2 \hat{i} +3 \hat{j} + 4 \hat{k}) T,$ where $B_o$ is constant. The magnitude of flux passing through the square $(a)\; 2B_oL^2 Wb$ $(b) \; 3B_o L^2 Wb$ $(c) \; 4B_o L^2 Wb$ $(d) \; \sqrt{29}B_o L^2 Wb$

$(a)\; 2B_oL^2 Wb$
$(b) \; 3B_o L^2 Wb$
$(c) \; 4B_o L^2 Wb$
$(d) \; \sqrt{29}B_o L^2 Wb$

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A)
Given :
$A = L^2 \hat{k}$ and $B = B_o (2 \hat{i} + 3\hat{j} + 4 \hat{k})$
\begin{align*}\phi & = \overrightarrow {B}. \overrightarrow {A} \\ & = B_o (2 \hat{i} + 3 \hat{j} + 4 \hat{k}) . L^2 \hat{k} \\ &=4 B_o L^2 \;weber \end{align*}