Question

A capacitor of capacitance $C$ is charged to a potential difference $V.$ The flux of the electric field through a closed surface enclosing the capacitor is

• A. $\frac{CV}{{\epsilon }_0}$
• B. $\frac{2CV}{{\epsilon }_0}$
• C. $\frac{CV}{2{\epsilon }_0}$
• D. zero

Answer 1

The correct option is D zero

According to gauss law ;

the net flux through any closed surface is equal to the net charge. then according to the given situation the capacitor is closed inside a sphere. As we know that the capacitor is made up of two parallel plates of equal and opposite charges the net charge on a capacitor is zero. hence net flux through a closed surface is zero.

so option D is correct.