A1.2 nf parallel-plate capacitor has an air gap between its plates. its capacitance increases by 3.0 nf when the gap is filled by a dielectric
what is the dielectric constant of that dielectric?

2.5

Explanation:

The capacitance of a parallel-plate capacitor filled with dielectric is given by

where

k is the dielectric constant

is the capacitance of the capacitor without dielectric

In this problem,

is the capacitance of the capacitor in air

is the capacitance with the dielectric inserted

Solving the equation for k, we find

the first american roller coaster was the mauch chunk switchback railway, built in the mountains of pennsylvania in the mid-1800s. the track, originally built to send coal to a railway, was reconfigured as a "scenic tour."