The effective area of each plate of a parallel plate capacitor is 2.1 m2. the capacitor is filled with neoprene rubber (κ = 6.4). when a 6.0-v potential difference exists across the plates of the capacitor, the capacitor stores 4.0 µc of charge. determine the plate separation of the capacitor.

Explanation:

The capacitance of the capacitor is given by:

where

is the charge stored on the plates

V = 6.0 V is the potential difference across the capacitor

Substituting, we find

The capacitance of a parallel-plate capacitor is also given by

where

k = 6.4 is the dielectric constant

is the vacuum permittivity

is the area of each plate

d is the separation between the plates

Solving for d, we find