Question

Electric field in a region is given by $\overrightarrow{E}=-4x\hat{i}+6y\hat{j}$, find the charge enclosed in cube of side 1 m oriented as shown in figure

• A. $6{ϵ}_0$
• B. Zero
• C. ${ϵ}_0$
• D. $2{ϵ}_0$

Answer 1

The correct option is D $2{ϵ}_0$


and flux through other faces will be zero

${\varphi }_{net}=6-4=+2$

$\frac{q_{\text{en}}}{{\epsilon }_0}=2$(Gauss theorem)

$q_{\text{en}}=2{\epsilon }_0$