In a parallel plate capacitor, the plate at \( x = 0 \) is grounded and the plate at \( x = d \) is maintained at a potential \( V_0 \). The space between the two plates is filled with a linear dielectric of permittivity \( \epsilon = \epsilon_0 \left(1 + \frac{x}{d}\right) \), where \( \epsilon_0 \) is the permittivity of free space. Neglecting the edge effects, the electric field (\(\vec{E}\)) inside the capacitor is .
