A charge of 0.80nC is placed at the center of a cube that measures 4.0 m along each edge. What is the electric flux through one face of the cube?. 1. 5 N m2/C
2. 90 N m2/C
3. 45 N m2/C
4. 64 N m2/C
5. 23 N m2/C

Respuesta :

Answer:

Explanation:

Given

Charge of [tex]Q=0.8\ nC[/tex]  

Length of side of cube [tex]a=4\ m[/tex]  

Total Flux through the cube [tex]\phi =\frac{Q}{\epsilon _0}[/tex]  

[tex]\epsilon _0=8.854\times 10^{-12}\ C^2/N-m^2[/tex]  

total Flux [tex]\phi=\frac{0.8\times 10^{-9}}{8.854\times 10^{-12}}[/tex]  

[tex]\phi =90.35\ N-m^2/C[/tex]  

As cube has 6 faces , so flux through each face will be similar

thus flux through  each face [tex]\phi'=\frac{\phi }{6}[/tex]  

[tex]\phi '=\frac{90.35}{6}=15\ N-m^2/C[/tex]