Question

Electric flux through a surface of area $100m^2$ lying in the xy plane is (in V-m) if $\overrightarrow{E}=\hat{i}+\sqrt{2}\hat{j}+\sqrt{3\hat{k}}$

• A. $100$
• B. $141.4$
• C. $173.2$
• D. $200$

Answer 1

The correct option is C $173.2$

Given $\overrightarrow{E}=\hat{i}+\sqrt{2}\hat{j}+\sqrt{3}\hat{k}$, Area, $\overrightarrow{A}=100\hat{k}$

Electric Flux$=\overrightarrow{E}.\overrightarrow{A}$

$\Rightarrow \text{Electric Flux}=(\hat{i}+\sqrt{2}\hat{j}+\sqrt{3}\hat{k}).\left(100\hat{k}\right)=100\sqrt{3}=173.2$