Question

Consider a Gaussian spherical surface covering a dipole of charge $q$ and $-q$, then :

• A. $q_{in}=0$(net charge enclosed by the spherical surface)
• B. ${\varphi }_{net}=0$(net flux coming out the spherical surface)
• C. $E=0$ at all points on the spherical surface
• D. $\int \overrightarrow{E}\cdot \overrightarrow{d}s=0$(surface integral of over the spherical surface)

Answer 1

Answer: (A), (B), (D)

The correct options are
A $q_{in}=0$(net charge enclosed by the spherical surface)
B ${\varphi }_{net}=0$(net flux coming out the spherical surface)
D $\int \overrightarrow{E}\cdot \overrightarrow{d}s=0$(surface integral of over the spherical surface)

A. Net charge of dipole is zero.

$\Rightarrow q_{net}=0$

B.${\varphi }_{net}=\frac{q_{net}}{{\epsilon }_0}=0$

C.$\int \overrightarrow{E}\cdot \overrightarrow{d}s={\varphi }_{net}=0$