Three charges Q,(-2q) and (-2q) are placed at | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The electrostatic potential energy $U$ of a system of point charges is given by $U = \sum \frac{k q_i q_j}{r_{ij}}$.For the given system,the charg

Vedclass · Accepted Answer

$\frac{q}{\sqrt{2}}$

Vedclass · Answer

(C) The electrostatic potential energy $U$ of a system of point charges is given by $U = \sum \frac{k q_i q_j}{r_{ij}}$.For the given system,the charges are $q_1 = Q$,$q_2 = -2q$,and $q_3 = -2q$. The distances between them are $r_{12} = l$,$r_{13} = l$,and $r_{23} = \sqrt{l^2 + l^2} = l\sqrt{2}$.The total potential energy is:$U = \frac{k Q(-2q)}{l} + \frac{k Q(-2q)}{l} + \frac{k (-2q)(-2q)}{l\sqrt{2}} = 0$Dividing by $k$ and simplifying:$-\frac{2Qq}{l} - \frac{2Qq}{l} + \frac{4q^2}{l\sqrt{2}} = 0$$-\frac{4Qq}{l} + \frac{4q^2}{l\sqrt{2}} = 0$$\frac{4Qq}{l} = \frac{4q^2}{l\sqrt{2}}$$Q = \frac{q}{\sqrt{2}}$Thus,the correct option is $C$.

Three charges $Q$,$(-2q)$ and $(-2q)$ are placed at the vertices of an isosceles right-angled triangle as shown in the figure. The net electrostatic potential energy is zero if $Q$ is equal to

Similar Questions

Write an equation of electric potential at a point on the axis of an electric dipole.

What is the potential energy of two equal positive point charges of $1\,\mu C$ each,held $1\, m$ apart in air?

Three charges $Q, +q$ and $+q$ are placed at the vertices of a right-angled isosceles triangle with legs of length $a$ as shown in the figure. The net electrostatic potential energy of the configuration is zero. The value of $Q$ is:

$A$ molecule of a substance has a permanent dipole moment $p$. $A$ mole of this substance is polarized by applying a strong electrostatic field $E$. The direction of the field is suddenly changed by an angle of $60^{\circ}$. If $N$ is the Avogadro's number,the amount of work done by the field is:

Two charges $5 \text{ nC}$ and $-2 \text{ nC}$ are placed at points $(5 \text{ cm}, 0, 0)$ and $(23 \text{ cm}, 0, 0)$ in a region of space where there is no other external field. The electrostatic potential energy of this charge system is

Vedclass Test Series

Exam Paper Generator

Online Exam Module