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  4. A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is 5 cm2 . The capacity of the unit is

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Q. A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is $0.885\, cm$ and the overlapping area of the plates is $5\,cm^{2}$ . The capacity of the unit isPhysics Question Image

AIIMSAIIMS 2011

Solution:

The given arrangement of nine plates is equivalent to the parallel combination of $8$ capacitors.
The capacity of each capacitor,
$C =\frac{\varepsilon_{0} A}{d}$
$=\frac{8.854 \times 10^{-12} \times 5 \times 10^{-4}}{0.885 \times 10^{-2}}=0.5\, pF$
Hence, the capacity of $8$ capacitors
$=8 C=8 \times 0.5=4\, pF$