Can there be a potential difference between two adjacent conductors carrying the same charge ?
Yes, if the sizes are different.
Capacitance of capacitor $\mathrm{C}=\frac{\mathrm{Q}}{\mathrm{V}}$, where $\mathrm{Q}$ is the charge of conductor and $\mathrm{V}$ is the electric potential of conductors.
For given charge potential $\mathrm{V} \propto \frac{1}{\mathrm{C}}$. So two adjacent conductors carrying the same charge of different dimensions may have different potentials.
Two metallic charged spheres whose radii are $20\,cm$ and $10\,cm$ respectively, have each $150\,micro - coulomb$ positive charge. The common potential after they are connected by a conducting wire is
A cylindrical capacitor has two co-axial cylinders of length $15\; cm$ and radii $1.5 \;cm$ and $1.4\; cm .$ The outer cylinder is earthed and the inner cylinder is given a charge of $3.5\; \mu \,C .$ Determine the capacitance of the system and the potential of the inner cylinder. Neglect end effects (i.e., bending of field lines at the ends).
The distance between the plates of a charged parallel plate capacitor is $5\ cm$ and electric field inside the plates is $200\ Vcm^{-1}$. An uncharged metal bar of width $2\ cm$ is fully immersed into the capacitor. The length of the metal bar is same as that of plate of capacitor. The voltage across capacitor after the immersion of the bar is......$V$
This question has Statement $1$ and Statement $2$. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement $1$ : It is not possible to make a sphere of capacity $1$ farad using a conducting material.
Statement $2$ : It is possible for earth as its radius is $6.4\times10^6\, m$
No current flows between two charged bodies connected together when they have the same