Question

A parallel plate capacitor with air as the dielectric has capacitance C. A slab of dielectric constant K and having the same thickness as the separation between the plates is introduced so as to fill one fourth of the capacitor as shown in the figure. The new capacitance will be :

467519
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A

B

C

D

Hard

Solution

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Correct option is A)

Capacitance

Initially for air:

Finally for air:

For dielectric:

We can consider them as two capacitors in series which gives,

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