Question

19.
NEET-II 2016
A parallel-plate capacitor of area A, plate
separation d and capacitance C is filled with four
dielectric materials having dielectric constants kį,
ką, kz and k4 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=dE0A