1.

Find an expression for capacity of a parallel plate capacitor with compound dielectric.

Answer»

Consider a parallel plate cpacitor having plates of area a separated by a distance d. Then, capacitence of this air capacitor is given by

Cair = ε0A/d

If the space between the (dates is filled completely with dielectric of relative permitivity K, then capacitance of the same capacitor is given by

cm =ε0kA/d

Dividing (ii) by (i), we have

k = cm/air

= Capacitance of capacitor with dielectric between the plates/capacitance of the same capacitor with air between the plates.



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