Three point charges +Q,+2Q,and q are placed a | vedclass

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

Question

(A) The electrical potential energy $U$ of a system of point charges is given by the sum of the potential energies of all pairs of charges: $U = k \le

Vedclass · Accepted Answer

$q = -\frac{2}{3} Q$

Vedclass · Answer

(A) The electrical potential energy $U$ of a system of point charges is given by the sum of the potential energies of all pairs of charges: $U = k \left( \frac{q_1 q_2}{r_{12}} + \frac{q_2 q_3}{r_{23}} + \frac{q_3 q_1}{r_{31}} ight)$.For an equilateral triangle with side length $a$,the distance between any two charges is $a$.Given charges are $q_1 = Q$,$q_2 = 2Q$,and $q_3 = q$.The total potential energy is $U = \frac{k}{a} (Q \cdot 2Q + 2Q \cdot q + q \cdot Q)$.Setting $U = 0$ for the system to have zero potential energy:$2Q^2 + 2Qq + qQ = 0$.$2Q^2 + 3Qq = 0$.$Q(2Q + 3q) = 0$.Since $Q 
eq 0$,we have $2Q + 3q = 0$.Therefore,$q = -\frac{2}{3} Q$.

Three point charges $+Q$,$+2Q$,and $q$ are placed at the vertices of an equilateral triangle. The value of charge $q$ in terms of $Q$,so that the electrical potential energy of the system is zero,is given by:

Similar Questions

The work done in moving a charge of $20 \ C$ from point $A$ to point $B$ is $2 \ J$. What is the potential difference between the two points (in $V$)?

Write an expression for the potential at a point outside a uniformly charged spherical shell,on the surface,and inside the shell.

Calculate the electric potential on the axis of a ring of radius $R$ due to a charge $Q$ uniformly distributed along it.

Four equal charges $Q$ are placed at the four corners of a square of side length $a$. The work done in removing a charge $-Q$ from its center to infinity is

$A$ spherical shell of radius $5 \ cm$ is charged to a potential of $10 \ V$ on its surface. The potential at the center of the shell will be ...... $V$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module