Embibe Experts Solutions for Exercise 4: Assignment

Three point charges $q,q\&-2q$ are placed at the corners of an equilateral triangle of side $\text{'}L\text{'}$ Calculate, work done by external force in moving all the charges far apart without acceleration

Electric potential in a region is varying according to the relation $V=\frac{3x^2}{2}-\frac{y^2}{4}$, where $x$ and $y$ are in metre and $V$ is in volt. Electric field intensity (in $\mathrm{N} {\mathrm{C}}^{-1}$) at a point $(1 \mathrm{m},2 \mathrm{m})$ is

Six point charges are placed at the vertices of a regular hexagon of side $a$ as shown. If $E$ represents electric field and $V$ represents electric potential at $\mathrm{O},$ then

A positively charged ring is in $y-z$ plane with its centre at origin. A positive test charge $q_0$, held at origin is released along $x$ axis, then its speed

Two metal spheres $A$ and $B$ of radii $a\&b(a<b)$ respectively are at a large distance apart. Each sphere carries a charge of $100\mu \mathrm{C}.$ The spheres are connected by a conducting wire, then

Four charges $+\mathrm{q},-\mathrm{q},+\mathrm{q},-\mathrm{q}$ are placed in order on the four consecutive corners of a square of side $\mathrm{L}$. The work done in inter changing the position of any two neighbouring charges of the opposite sign is

The charge $\mathrm{q}$ is fired towards another charged particle $\mathrm{Q}$ which is fixed, with a speed $\mathrm{v}$. It approaches $\mathrm{Q}$ up to closest distance $\mathrm{r}$ and then returns. If $\mathrm{q}$ were given a speed $2\mathrm{v}$, the closest distance of approach would be

As in the figure, if a capacitor of capacitance $\text{'}\mathrm{C}\text{'}$ is charged by connecting it with resistance $\mathrm{R},$ then energy given by the battery will be

energy