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 = 100\,\mathrm{cm}^2

and gap

d = 2.0\,\mathrm{mm}

. A dielectric slab of relative permittivity

\varepsilon_r = 6.0

fills exactly half the plate area, side by side with vacuum filling the other half, both occupying the full gap. Fringing fields are ignored. ((a)) Find the vacuum capacitance

C_0

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

C

with the dielectric half in place.

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