Figure shows an arrangement of four identical rectangular plates A,B,C, and D each of area S. Find the charges appearing on each face (from left to right) of the plates. Ignore the separation between the plates in comparison to the plate dimensions.

Options

A. Potential difference between the plates A and B is independent of `Q_1`.
B. Potential difference between plates C and D is independent of `Q_1`
C. Potential difference between the plates A and B is independent of `Q_2`.
D. Potential difference between plates C and D is independent of `Q_2`

Answer

A, B

Explanation

a.,b.
`xa+xb+(Q_(2)+x)c=0`
`x=(-Q_(2)c)/(a+b+c)`
`Q_(1)=y+x+y-Q_(2)-x`
`y=(Q_(1)+Q_(2))/(2)`
`V=(Q_(2)ca)/((a+B+c)Sepsilon_(0))`