A parallel plate capacitor is connected to a cell. A metal plate of neglible thickness is inserted parallel to plates.
(A) the capacitance remains same
(B) the cell will supply more charge
(c) Equal and opposite charges will appear pm two faces of metal plate
(D) the potential difference between the plates will increase

Options

A. `A,B`
B. `A,C`
C. `B,C`
D. `C,D`

Answer

B

Explanation

`C'=(Ain_(0))/(d-t+(t)/(k)), t~=0,K=oo`
`C'=(Ain_(0))/(d)=C,(A)` is O.K.
`Q=CV, Q'=C'V=CV`
`Q=Q', (B)` is wrong
Induced charge `Q_(in)=Q(1-(1)/(K))=Q(1-(1)/(oo))=Q (c)` is O.K.
since battery is connected.
potential difference will remain same. (D) is wring