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Question

Consider a parallel plate capacitor of capacity 10μF with air filled in the gap between the plates. Now, one-half of the space between the plates is filled with a dielectric of dielectric constant 4 as shown in the figure. The capacity of the capacitor changes to :

155211_143ff5fb06734ceba86aac5cc24ba02e.png

A
25μF
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B
20μF
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C
40μF
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D
5μF
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Solution

The correct option is A 25μF
Given ε0Ad=10
Now both capacitors are in parallel
C1=ε0A/2d
C2=Kε0(A/2)d
C=ε0A/2d+4ε0(A/2)d=10[12+2]=25μF

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