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

Text Solution
Verified by ExpertsThe correct answer is:
A
Here the capacitance, 
The above three capacitors
are in parallel and then it is in series with
Here,

Now the equivalent capacitance for the combination of four capacitors is
or, 

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