Question

A parallel plate capacitor is made up of two plates, each having an area of 8.0x10-4 m2 and separated from each other by 5.0 mm. It is filled with equal thicknesses of dielectrics arranged as shown. What is its capacitance?

Answer 1

Answer:

Here there are three capacitors in between the plates and they are in series.

C

1

=

d

1

Ak

1

ϵ

0

=

0.4×10

−3

2×2×8.854×10

−12

=8.854×10

−8

F

C

2

=

d

2

Ak

2

ϵ

0

=

0.6×10

−3

2×3×8.854×10

−12

=8.854×10

−8

F

C

3

=

d

3

Ak

3

ϵ

0

=

1.2×10

−3

2×6×8.854×10

−12

=8.854×10

−8

F

thus, C

1

=C

2

=C

3

=C

C

eq

1

=

C

1

+

C

1

+

C

1

=

C

3

C

eq

=

3

C

=

3

8.854×10

−8

=2.94×10

−8

F