A parallel plate4 capacitor is cahrged and the charging battery is then disconnected. If the plates of the capacitor are moved further apart by means of insulation handles, then which one of the following statements is wrong?

Options

A. The electrostatic energy stored in the capacitor increases
B. The capacitance decreases
C. the cahrge on the capacitor increases
D. The voltage across the plates increases

Answer

C

Explanation

For a parallel plate capacitor, `C=(epsi_(0)A)/(d)`
When it is charged and the charrging battery is disconnected and then the distance between the plates is increased, then
(i) Charge on the capacitor remains constant.
`therefore` (c) is wrong statement.
(ii) `therefore Cprop(1)/(d)`,
`therefore`The capacitance is decreased when d is increased.
(iii) `becauseQ=CV` and for constant `Q,Vprop(1)/(C)`
As C is decreased, P.D. is increased.
(iv) The electrostatic energy `=(1)/(2)QV`
and as Q is constant `E propV` and hence it increases. thus (a), (b) and (d) are correct statements.