Problem 3
A parallel-plate capacitor of width $w$, length $l$, and separation $d$ is partially filled with a dielectric medium of
permittivity $\epsilon$, as shown below. A battery of $V$ volts is connected between the plates.
a) Find $D$, $E$, and $\rho_s$ in each region.
b) Find distance $x$ such that the electrostatic energy stored in each region is the same.
