Electrostatic Potential and Potential Difference

Name the machine which makes use of this principle. Draw a simple labelled line diagrams of this machine. What’s ‘practicle difficulty’ puts on upper linit on the maximum potential difference which this machine can built up?

Express the unit of electric potential in  terms of the base units of SI.

Two protons $A$ and $B$ are placed between two parallel plates having a potential difference $V$, as shown in figure below. Will these protons experience equal or unequal force?

In the figure below charge $+Q$ is placed at the centre of a dashed circle. Work done in taking another charge $+q$ from $A$ to $B$ is $W_1$ and from $B$ to $C$ is $W_2$. Which one of the following is correct: $W_1>W_2, W_1=W_2$ and $W_1<W_2$?

What would be the work done if a point charge $+q$, is taken from a point $A$ to the point $B$ on the circumference of a circle with another point charge $+q$ at the centre?

A positive charge $+ q$ is located at a point. What is the work done if a unit positive charge is carried once round this charge along a circle of radius $r$ about this point.

Can there be a potential difference between two neighbouring conductors carrying equal  positive charges?

Two point charges of $+10 \mu C$ and $+20 \mu C$ are placed in free space $2 \mathrm{cm}$ apart. Find the electric potential at the middle point of the line joining the two charges.

A hollow metal sphere is charged with $0.4 \mu C$ of charge and has a radius of $0.1 m$. Find the potential at a distance of $0.6 m$ from the centre. The sphere is placed in air.

A hollow metal sphere is charged with $0.4 \mu C$ of charge and has a radius of $0.1 m$. Find the potential inside the surface.

A hollow metal sphere is charged with $0.4 \mu C$ of charge and has a radius of $0.1 m$. Find the potential at the surface.

Two points $A$ and $B$ are located in diametrically opposite directions of a point charge of $+2 \mu C$ at distances $2.0 \mathrm{m}$ and $1.0 \mathrm{m}$ respectively from it. Determine the potential difference $V_A-V_B$.

The electric field at a point due to a point charge is $20 {\mathrm{NC}}^{-1}$ and the electric potential at that point is $10 {\mathrm{JC}}^{-1}$. Calculate the distance of the point from the charge and the magnitude of the charge.

The electric potential at $0.9 \mathrm{m}$ from a point charge is $+50 \mathrm{V}$. What is the magnitude and sign of the charge?

A small sphere of radius ${\mathrm{r}}_1$ and charge ${\mathrm{q}}_1$ is enclosed by a spherical shell of radius ${\mathrm{r}}_2$ and charge ${\mathrm{q}}_2.$ Show that if ${\mathrm{q}}_1$ is positive, charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge ${\mathrm{q}}_2$ on the shell is.

 Guess a possible reason why water has a much greater dielectric constant $(=80)$ than say, mica $(=6).$

We know that electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there?

What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical?

A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?

If Coulomb’s law involved $1/{\mathrm{r}}^3$ dependence (instead of $1/{\mathrm{r}}^2$), would Gauss’s law be still true?