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Q.

In parallel plate capacitor set up, plate area is 2m2 and the plates are separated by 1 m. If the space between the plates are filled with a dielectric material of thickness 0.5 m and area 2 m2 (see fig) the capacitance of the set up will be______ε0 (Take K=3.2)(Round off to the Nearest integer)

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answer is 3.

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Detailed Solution

C1=Kε0Ad/2;C2=ε0Ad/2 C1 and C2 are in series,⇒1C=1C1+1C2=d2Kε0A+d2ε0A⇒1C=d2ε0AK+1K ⇒C=2ε0AKd(K+1)=2×2×3.21×4.2ε0=3.04ε0
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