The direction $(\theta ) $ of $\vec E$ at point $P$ due to uniformly charged finite rod will be
at angle $30°$ from $x-$axis
$45°$ from $x$ $-$ axis
$60°$ from $x$-axis
none of these
The charge per unit length of the four quadrant of the ring is $2\ \lambda , - 2\ \lambda , \lambda$ and $- \lambda$ respectively. The electric field at the centre is
A hollow sphere of charge does not produce an electric field at any
Give reason : ''Small and light pieces of paper are attracted by comb run through dry hair.''
A charged cork of mass $m$ suspended by a light string is placed in uniform electric filed of strength $E= $$(\hat i + \hat j)$ $\times$ $10^5$ $NC^{-1}$ as shown in the fig. If in equilibrium position tension in the string is $\frac{{2mg}}{{(1 + \sqrt 3 )}}$ then angle $‘\alpha ’ $ with the vertical is
Equal charges $q$ are placed at the vertices $A$ and $B$ of an equilateral triangle $ABC$ of side $a$. The magnitude of electric field at the point $C$ is