Electrostatic Potential and Capacitance Part 1

The equivalent capacitance of the capacitor when dielectric material is partially filled, is given as
where,
ε0= absolute electrical permittivity of free space,
A= area of the plates of capacitor =2m2
K= dielectric constant =3.2
t= thickness of dielectric material =‌

d

2

and d= distance between the plates =2m.
C=‌

2ε0A

d k +d

=‌

2×2ε0

1 3.2 +1

=‌

4×3.2

4.2

ε0
⇒‌‌C=3.04ε0
The required value after rounding off to the nearest integer is 3 .