B M Sharma Solutions for Chapter: Electric Potential, Exercise 7: Archives

$A$ charge $Q$ is uniformly distributed over a long rod $AB$ of length $L$ as shown in the figure. The electric potential at the point $O$ lying at a distance $L$ from the end $A$ is

Assume that an electric field $\overrightarrow{E}=30x^2\hat{\mathrm{i}}$ exists in space. Then the potential difference $V_{\mathrm{A}}-V_{\mathrm{o}}$, where $V_{\mathrm{o}}$ is the potential at the origin and $V_{\mathrm{A}}$ the potential at $x=2 \mathrm{m}$ is

A uniformly charged solid sphere of radius $R$ has potential $V_0$ (measured with respect to $\infty$) on its surface. For this sphere, the equipotential surfaces with potentials $\frac{3V_0}{2}, \frac{5V_0}{4}, \frac{3V_0}{4}$ and $\frac{V_0}{4}$ have radius $R_1, R_2, R_3$ and $R_4$ respectively. Then

Three concentric metal shells $A, B$ and $C$ of respective radii $a, b$ and $c\left(a<b<c\right)$ have surface charge densities $+\sigma , -\sigma$ and $+\sigma$ respectively. The potential of shell $B$ is

Consider a thin spherical shell of radius $R$ with its center at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $\left|\overrightarrow{E}\left(r\right)\right|$ and the electric potential $V\left(r\right)$ with the distance $r$ from the centre is best represented by which graph?

Two large vertical and parallel metal plates having a separation of $1 \mathrm{cm}$ are connected to a DC voltage source of potential difference $X.$ A proton is released at rest midway between the two plates. It is found to move at $45°$ to the vertical just after release. Then $X$ is nearly

A spherical metal shell $A$ of radius $R_{\mathrm{A}}$ and a solid metal sphere $B$ of radius $R_{\mathrm{B}} \left(<R_{\mathrm{A}}\right)$ are kept far apart and each is given charge $Q.$ Now they are connected by a thin metal wire. Then

Six point charges are kept at the vertices of a regular hexagon of side $L$ and centre $O,$ as shown in the figure. Given that $K=\frac{q}{4\pi {\epsilon }_0{L}^2},$ which of the following statement(s) is/are correct?