# Can electric field inside a battery be zero?

Consider a cell of EMF $e$ and internal resistance $R$. In case of discharging, terminal potential difference is given by : $V=e-IR$. If $e=IR$ then voltage is zero.

Since $$v=\int E\cdot dr$$ where $E$ is electric field) and $dr$ cant be zero.

This means that electric field is equal to zero. Am I correct?