Question

The total flux associated with given cube will be ,where ${}^{\prime }{a}^{\prime }$ Is side of cube:

• A. $508\times 10^{-3}N{m}^2{C}^{-1}$
• B. $508\times 10^{3}N{m}^2{C}^{-1}$
• C. $508\times 10^{-6}N{m}^2{C}^{-1}$
• D. $508\times 10^{6}N{m}^2{C}^{-1}$

Answer 1

Answer: (B)

Flux linked with cube due to one charge is
$\varphi =\frac{q}{8{ϵ}_0}$
Flux Due to all charges will be
$\varphi =\frac{\left(2+1+4+3+6+5+8+7\right)\times {\left(10\right)}^{-6}}{8{\left(ϵ\right)}_0}\varphi =\frac{36\times {\left(10\right)}^{-6}}{8\times 8.85\times {\left(10\right)}^{-12}}=508\times {\left(10\right)}^{3}N{m}^2{C}^{-1}$