1.

Figure shows an arrangement of four identical ractangular 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.

Answer»

Potential DIFFERENCE between plastes A & B is independent of `Q_(1)`
Potential difference between plastes C & D is independent of `Q_(1)`
Potential difference between plastes A & B is independent of `Q_(2)`
Potential difference between plastes C & D is independent of `Q_(2)`

SOLUTION :`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)Svarepsilon_(0))`


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