Embibe Experts Solutions for Exercise 3: EXERCISE 1.3

A wire is bent in the form of a regular pentagon of edge length $a$. A total of charge$q$ is distributed over it. Find the electric field at the centre of the pentagon.

A point charge $q$ is kept at the centre of a fixed semicircular thread having a uniform charge per unit length $\lambda$, the radius of the semicircular thread being $R$. The force required to keep the charge stationary is

In which of the following figures, the direction of electric field at point $P$ is different from others? $(\lambda$ and $-\lambda$ represent constant linear charge densities)

A circular ring carries a charge $Q$, the variation of electric field with distance $x$ measured from centre along axis for $x<<R$ can be given as $[R\to$ Radius of Ring]

A circular ring carries a charge $Q$, the variation of electric field with distance $x$ measured from centre along axis for $x<<R$ is given by $E=\frac{kQx}{R^3}$ $[R\to$ Radius of Ring]. The maximum electric field on the axis will be [where $C=\frac{Q}{4\mathrm{\pi }{\epsilon }_0{R}^2}$ ]