Which of the following statements are correct ?
a) When capacitors are connected in parallel the effective capacitance is less than the individual capacitances
b) The capacity of a parallel plate capacitor can be increased by decreasing the separation between plates
c) When capacitors are connected in series the effective capacitance is less than the least of the individual capacities

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a and c

b and c

a and b

a only

answer is D.

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Detailed Solution

When capacitors are connected in parallel effective capacitance is

$C = C_{1} + C_{2} + C_{3} + . . . . its value increases$

$Expression for capcitance of a parallel plate capacitor C = \frac{ε_{0} A}{d} so d decreases capacitance increases$

$When capacitors are connected in series \frac{1}{C} = \frac{1}{C_{1}} + \frac{1}{C_{2}} + . . . . . . so effective capacitance is less than the least in the combination$

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