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Question

When a capacitor of capacitance C is filled with a dielectric (i.e. thickness of the dielectric is equal to the spacing between the plates) of dielectric constant k, what is the new capacitance?

A
Ck
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B
Ck
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C
Ck2
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D
Ck2
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Solution

The correct option is A Ck
When t=d for the dielectric introduced,
The formula for new capacitance,
C=ε0Adt+tk
It changes to,
C=kε0At
Since t=d,
C'=kC


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