A parallel-plate capacitor has plate area and gap

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electric fields in matter · Electric fields in matter

The Boundary-Value Problem, Ch Linear dielectrics and the boundary-value problem with matter in it

Problem

A parallel-plate capacitor has plate area

A = 200\,\mathrm{cm}^2

and gap

d = 2.0\,\mathrm{mm}

. A dielectric slab of relative permittivity

\varepsilon_r = 3.0

fills exactly half the gap as a layer next to one plate, the other half of the gap being vacuum. Fringing fields are ignored. ((a)) Find the vacuum capacitance

C_0

of the empty capacitor. ((b)) Find the capacitance

C

with the layer in place.

Browse the problem library