B M Sharma Solutions for Chapter: Electric Potential, Exercise 2: Concept Application Exercise

The electric potential in a region is represented as $V = 2x+3y-z$. Obtain the expression for electric field strength.

The figure shows the lines of constant potential in the region in which an electric field is present. The values of potential are written in brackets. At which points $A\text{,} B$ or $C$ the electric field is greatest?

The equipotential curves in $x\text{,} y$ plane are given by $V=x^2+y^2-4x+4$ where $V$ is potential. Draw the rough sketch of electric field lines in $x-y$ plane.

A uniform electric field exists in $xy$ plane as shown in the figure. Find the potential difference between the origin $O$ and $A\left(d, d, 0\right)$.

Electric potential in a $3$- dimensional space is given by, $V = \left(\frac{1}{x}+\frac{1}{y}+\frac{2}{z}\right) \mathrm{V}$ where $x, y$ and $z$ are in metre. A particle has a charge $q = {10}^{-12 }\mathrm{C}$ and mass $m= {10}^{-9} \mathrm{g}$ and is constrained to move in $xy$ plane. Find the initial acceleration of the particle if it's released at  $\left(1, 1, 1\right) \mathrm{m}$.