An uncharge parallel plate capacitor having a dielectric of dielectric constant `K` is connected to a similar air coare parallel plate capacitor charged to a potential `V_(0)`. The two share the charge, and the common potential becomes `V`. The dielectric constant `K` is`

Options

A. `V_(0)/V-1`
B. `(V_(0))/V+1`
C. `V/V_(0)-1`
D. `V/V_(0)+1`

Answer

A

Explanation

`C_(1) =C,V=_(1)V_(0),C_(2)=KC,V_(2)=0`, and`V_(common)=V`
`V_("common")=(C_(1)V_(1)+C_(2)V_(2))/(C_(1)+C_(2)`
`:. V=(CV_(0)+KCxxO)/(C+KC)`
or `K+V_(0)/V-1`.