Question

The electric field components in the given figure are $E_x=\alpha x^{1/2},E_y=E_z=0$ in which $\alpha =800N{C}^{-1}{m}^{-1/2}$. The charge within the cube is, if net flux through the cube is $1.05N{m}^2{C}^{-1}$(assume $a=0.1m$)

• A. $9.27\times {10}^{-12}C$
• B. $9.27\times {10}^{12}C$
• C. $6.97\times {10}^{-12}C$
• D. $6.97\times {10}^{12}C$

Answer 1

The correct option is A $9.27\times {10}^{-12}C$

By Gauss's law $q=\varphi {\epsilon }_0=1.05\times 8.854\times {10}^{-12}C=9.27\times {10}^{-12}C$