Q.

The ratio of capacitance of two capacitors filled with dielectrics of same dimensions but of different values K and K/4 arranged in two ways as shown in Figure-(1) and Figure-(2) is

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a

5 : 2

b

25 : 16

c

5 : 4

d

2 : 5

answer is B.

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Detailed Solution

Here C1=ε0k1A2d +  ε0k2A2d=5ε0kA8d Given k1= k,  k2= k/4C2=ε0Ad/2k1 + d/2k2 = 2ε0kA5d  ∴    C1C2=2516
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The ratio of capacitance of two capacitors filled with dielectrics of same dimensions but of different values K and K/4 arranged in two ways as shown in Figure-(1) and Figure-(2) is