An infinite, grounded conducting plate lies in the \(xy\)-plane (\(z = 0\)) with a small hemispherical protrusion of radius \(R\) centered at the origin in the region \(z \ge 0\). An external uniform electric field \(\vec{E} = E_0 \hat{k}\) is established far from the plate. In spherical coordinates where \(\theta\) is the polar angle measured from the \(+z\)-axis, the electrostatic potential in the region \(r \ge R\) is given by

\[ V(r, \theta) = -E_0 \left(r - \dfrac{R^3}{r^2}\right)\cos\theta \]

Which of the following statements correctly describes the behavior of the electric field in the specified limit?