Electric Potential

A particle of charge+q and mass m moving under the influence of a uniform electric field E $\widehat{\text{i}}\text{and magnetic field B}\widehat{\text{k}}$enters in I quadrant of a coordinate system at a point (0, a) with initial velocity v$\widehat{\text{i}}$and leaves the quadrant at a point (2a, 0) with velocity $-\mathrm{2 }\text{v}\widehat{\text{j}}$.
Find Rate of work done by the electric field at point (0, a)

A charge $+Q$ is placed on a large spherical conducting shell of radius $R$. Another small conducting sphere of radius r carrying charge $q$ is introduced inside the large shell and is placed at its centre. The potential difference between two points, one lying on the sphere and the other on the shell would be:

How does the electric potential due to a dipole vary on the dipole axis as a function of $r$– distance of the field point from the mid–point of the dipole, at large distances?

Which of the following quantities do not depend on the choice of zero potential ?

The electric potential due to a system of charge in space is given by $\mathrm{V}=5{\mathrm{x}}^2-2{\mathrm{y}}^2+12$, where $\mathrm{x}, \mathrm{y}, \mathrm{z}$ are the co-ordinates in metre and $\mathrm{V}$ is in volts. The electric field intensity in $\mathrm{V} {\mathrm{m}}^{-1}$ at $\left(-4,3,0\right)$ along $\mathrm{x}-$direction is

Electrostatical potential at a distance $"\mathrm{r}"$ from a point charge $"\mathrm{q}"$ is proportional to?

The work done on moving a charge particle of $-5\mathrm{C}$ in an electric field is $100\mathrm{J}$. Find the potential difference.

The electric potential due to a system of charge in space is given by $\mathrm{V}=5{\mathrm{x}}^2-2{\mathrm{y}}^2+12$, where $\mathrm{x}, \mathrm{y}, \mathrm{z}$ are the co-ordinates in metre and $\mathrm{V}$ is in volts. The electric field intensity at $\left(-4,3,0\right)$ along $\mathrm{x}-$direction is

Where electric potential is maximum for a charged solid conducting sphere?

What is uniformly charged non conducting sphere?

What is the electric potential inside a solid sphere?

is joule A unit of energy?

Which unit is volt?

How do you find the change in potential energy of a charge?

What is the change in electric potential between two points?

A radioactive source, in the form of a metallic sphere of radius ${10}^{-2} \mathrm{m}$ emits $\beta$-particles at the rate of $5\times {10}^{10}$ particles per second. The source is electrically insulated. The time required for its potential to be raised by $2 \mathrm{V}$ is $A\times {10}^{-4} \mathrm{s}$. Assuming that $40\%$ of the emitted $\beta$ particles escape the source. Find $A$ to the nearest integer.

(Given: Charge on $\beta$-particle $=1.6\times {10}^{-19} \mathrm{C}$)

In a region, the electric potential is represented by $V(x, y, z)=6 x-8 x y-8 y+6 y z,$, where $\mathrm{V}$ is in volts and $x, y, z$ are in metres. The electric force experienced by a charge of $2$ coulomb situated at point $(1 \mathrm{m},1 \mathrm{m},1 \mathrm{m})$ is $n\sqrt{35} \mathrm{N}$. The value of $n$ is

Five equal point charges with $Q=\mathrm{10 }nC$ are located at $x=2, 4, 5, 10$ and $\mathrm{20 }m$ . If ${\epsilon }_0=\left[{10}^{-9}/36\mathrm{\pi }\right]F/m$ , then the potential at the origin $\left(x=0\right)$ is

On moving a charge of $20 \mathrm{C}$ by $2 \mathrm{cm}$, $2 \mathrm{J}$ of work is done, then the potential difference (in volt) between the points is

Which is the quantity that is equal to the work done on a unit positive charge to move it from infinity to a point in space?