A parallel late capacitor with square plates is filled with four dielectrics of dielectric constants K1, K2, K3, K4 arranged as shown in the figure. The effective dielectric constant K will be
a.
K=
b.
K=
c.
K=
d.
K = 
a.
K=
b.
K=
c.
K=
d.
K =
Question ID - 50129 | SaraNextGen Top Answer A parallel late capacitor with square plates is filled with four dielectrics of dielectric constants K1, K2, K3, K4 arranged as shown in the figure. The effective dielectric constant K will be
a.
K=
b.
K=
c.
K=
d.
K =
A parallel late capacitor with square plates is filled with four dielectrics of dielectric constants K1, K2, K3, K4 arranged as shown in the figure. The effective dielectric constant K will be
|
a. |
K= |
b. |
K= |
|
c. |
K= |
d. |
K = |
1 Answer
127 votes
Answer Key / Explanation : (d) -
C12=
C12=
In the same way we get, C34 =
∴ Ceq=C12+C34 =
… (i)
Now if Keq =k, Ceq =
…(ii)
On comparing equation (i) to equation (ii), we get
Keq = 
This does not match with any of the options so probably they have assumed the wrong combination
C13 =
=(K1 +K3 )
=C24 =(K2 + K4) 
Ceq = 
= 
K = 
127 votes
Answer Link
127