First slide

Electric flux

Question

In a region of space, the electric field is given by $\vec{E} = 8 \hat{i} + 4 \hat{j} + 3 \hat{k}$ . The electric flux through a surface of area 100 units in the xy plane is

Easy

A

800 units
B

300 units
C

400 units
D

1500 units

Solution

$\begin{array}{l} \vec{E} = 8 \hat{i} + 4 \hat{j} + 3 \hat{k}, \vec{A} = 100 \hat{k} \\ So ϕ = \vec{E} \cdot \vec{A} = 300 units (∵ \vec{i} . \vec{i} = \vec{j} . \vec{j} = \vec{k} . \vec{k} = 1) \end{array}$

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