[QUE/EM-05002] --- EM-PROBLEM --- Parallel plate capacitor partially filled with dielectric slab

A large parallel plate capacitor has a potential \(V\) applied across its plates. A slab of  dielectric with dielectric constant \(\kappa\) fills 9/10 of the gap between its plates with air \((\kappa_\text{air} = 1)\) filling the remaining space. Find the resulting electric field in the air and in the dielectric between the capacitor plates as well as the capacitance. Assume a separation \(t\) between the plates.

Vanderlinde