Question

# If in one case an asbestos sheet of thickness t(<d) is introduced between the plates of a parallel plate capacitor and in other case an aluminium slab of same thickness is introduced, then

A
Capacitance is more when the medium is asbestos as compared to aluminium.
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B
Capacitance is the same for both the media.
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C
Capacitance is more when the medium is aluminium as compared to asbestos.
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D
Insufficient information
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Solution

## The correct option is C Capacitance is more when the medium is aluminium as compared to asbestos.As we know that capacitance of partially filled dielectric slab of thickness t and dielectric constant K is given by C=ϵ0Ad−t+tK So, when the dielectric medium is asbestos (K>1) C1=ϵ0Ad−t+tK And, when the dielectric medium is aluminium (K=∞), since field inside the metal(aluminium) is zero. C2=ϵ0Ad−t Clearly, the denominator of C1 is greater than C2, which implicates that C2>C1 Hence, option (c) is correct. Key concept- 1.) Capacitance with partial dielectric is given by C=ϵ0Ad−t+tK 2.) Aluminium is a metal.

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