Physics NEET Full Syllabus Mock Test 180 Question New Syllabus Mock Test - 9 PCB MCQ (Single Correct)

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

A
B

C
D

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The 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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