Question

1.
A parallel-plate capacitor of area A, plate separation
d and capacitance C is filled with four dielectric
materials having dielectric constants ki, k2, kz and
kq as shown in the figure below. If a single dielectric
material is to be used to have the same capacitance
C in this capacitor, then its dielectric constant k is
given by :-
​

Answer 1

Answer:

The capacitances, C1=[d/2]k1E0A/2=dk1E0A

C2=d/2k2E0A/2=dk0E0A

and C3=[d/2]k3E0A=d2k3E0A

The equivalent capacitance is given by

⇒Ceq1=C1+C21+C31=dE