Question

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

• 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

Answer: (A)

$9.27 \times 10^{-12}\, C$

Answer 2

By Gauss?? law, $\phi=\frac{q}{\varepsilon_{0}}$ or $q=\phi\varepsilon_{0}$ $=1.05\times8.854\times10^{-12}\,C$ $=9.27\times10^{12}\,C$