For an infinite line of charge having charge density $\lambda $ lying along $x-$ axis, the work required in moving charge $q$ from $C$ to $A$ along arc $CA$ is :-
$\frac{{q\lambda }}{{\pi {\varepsilon _0}}}{\log _e}\sqrt 2 $
$\frac{{q\lambda }}{{4\pi {\varepsilon _0}}}{\log _e}\sqrt 2 $
$\frac{{q\lambda }}{{4 \pi {\varepsilon _0}}}{\log _e} 2 $
$\frac{{q\lambda }}{{2\pi {\varepsilon _0}}}{\log _e}\frac{1}{2}$
If a charge is shifted from a low potential region to high potential region, the electric potential energy
Four equal charges $Q$ are placed at the four corners of a square of each side is $'a'$. Work done in removing a charge $-Q$ from its centre to infinity is
Charge $Q$ is given a displacement $\vec r = a\hat i + b\hat j$ in an electric field $\vec E = E_1\hat i + E_2\hat j$ . The work done is
Two identical particles of mass m carry a charge $Q$ each. Initially one is at rest on a smooth horizontal plane and the other is projected along the plane directly towards first particle from a large distance with speed $v.$ The closest distance of approach be
A point charge $Q$ is placed in uniform electric field $\vec E = E_1 \hat i + E_2\hat j$ at position $(a, b)$. Find work done in moving it to position $(c, d)$