Physics

Problem

A dielectric slab is inserted partially into a parallel plate capacitor of plate area

A

and length

L

. The slab has a dielectric constant

K

and width equal to the plates. If the slab is inserted to a length

x

, derive the expression for the capacitance as a function of

x

. If

A = 100\,\text{cm}^{2}

L = 10\,\text{cm}

d = 1\,\text{mm}

K = 5

, and

x = 5\,\text{cm}

, calculate the value.