A parallel plate capacitor has plate area (40, cm ^2) and pl... | Physics | SolveeIt | Solveeit

Today, August 18

Question

A parallel plate capacitor has plate area $40\, cm ^2$ and plates separation $2\, mm$ The space between the plates is filled with a dielectric medium of a thickness $1 \,mm$ and dielectric constant $5$ The capacitance of the system is :

A

$\frac{10}{3} \varepsilon_0 F$

B

$\frac{3}{10} \varepsilon_0 F$

C

$24 \varepsilon_0 F$

D

$10 \varepsilon_0 F$

Answer

$\frac{10}{3} \varepsilon_0 F$

Explanation

Solution

A parallel plate capacitor has plate area 40cm2 and plates separation 2mm

This can be seen as two capacitors in series combination so
Ceq1=C11+C21
=tK∈0A1+d−t∈0A1
=K∈0At+ϵ0Ad−t
=5ϵ0×40×10−41×10−3+ϵ040×10−41×10−3
Ceq1=20ϵ01+4ϵ01
Ceq=2420×4ϵ0=310ϵ0F