AP EAPCET 07-Jul-2022 Shift 1 Paper

Initial capacitance of capacitor ,C0=

ε0A

d

Now, capacitor is filled with two dielectrics each slab has area A and distance

d

2

as shown.

Above arrangement is a series combination of two capacitor as shown :


so, capacity of above arrangement is

1

Ceq

=

1

C1

+

1

C2

=

1

ε0K1A (d∕2)

+

1

ε0K2A∕(d∕2)

=

d

2ε0A

[

1

K1

+

1

K2

]
⇒

1

Ceq

=

d

2ε0A

[

K1+K2

K1K2

]
⇒Ceq=

2ε0A

d

[

K1K2

K1+K2

]
⇒Ceq=2C0(

K1K2

K1+K2

)