The displacement of a charge $Q$ in the electric field $E = {e_1}\hat i + {e_2}\hat j + {e_3}\hat k$ is $\hat r = a\hat i + b\hat j$. The work done is
$Q(a{e_1} + b{e_2})$
$Q\sqrt {{{(a{e_1})}^2} + {{(b{e_2})}^2}} $
$Q({e_1} + {e_2})\sqrt {{a^2} + {b^2}} $
$Q(\sqrt {e_1^2 + e_2^2)} \;(a + b)$
State which of the following is correct
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
What is the potential energy of the equal positive point charges of $1\,\mu C$ each held $1\, m$ apart in air
Three identical small electric dipoles are arranged parallel to each other at equal separation a as shown in the figure. Their total interaction energy is $U$. Now one of the end dipole is gradually reversed, how much work is done by the electric forces.
Three charges $Q, +q$ and $+q$ are placed at the vertices of a right -angle isosceles triangle as shown below. The net electrostatic energy of the configuration is zero, if the value of $Q$ is