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NEET Class neet Answered

Pls solving the follin
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Asked by ntg432000 | 01 May, 2019, 09:44: PM
answered-by-expert Expert Answer
Figure-1 shows the given arrangements of plates and the plates are marked as 1,2....5,6. 
 
Let us consider plate-2 is given some positive potential with respect to plate-5 .
 
Figure-2 shows the network of capacitors as per the plates arrangement given in figure-1.
(plate indices are marked in each capacitor shown in figure-2). In the network of capacitors given in figure-2,
points X and Y have same potential due to symmetry.
Hence there will not be any charge on plates of capacitors connected between X and Y and this capacitor can be removed
in the network as shown in figure 3. 
 
In figure-3, we see, in each branch,  two capacitors of same capacitance C are connected in series
that can be replaced by an equivalent capacitance of C/2 as shown in figure-4.

Hence as shown in figure-4, two capacitors of capacitance C/2 are connected in parallel acorss the terminals a and b .
Hence the equivalenet capacitance as shown in fig.5 is C. 
 
Hence the net capacitance of the arrangements of plates shown in figure-1 is  ( ε0 A / d )
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