# Why is electric field inside a charge distribution not infinite?

Let's consider electric field due to a charge distribution at a point $$P$$ inside the charge distribution. Due to inverse square nature of electric field, electric field due to an element volume charge $$(\rho \ dV)$$ very close to point $$P$$ will be very large compared to element volume charge far from point $$P$$. So if we consider element volume charge infinitely close to point $$P$$, the electric field would be infinite. So due to superposition of electric field, the net electric field at point $$P$$ should be infinite. Why is it not so?

• " element volume charge infinitely close to point P, the electric field would be infinite." Try doing the calculation. You will find that the electric field is not infinite. – garyp Sep 23 '18 at 17:14