Two point charges +q_{1} and +q_{2} are place | vedclass

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

Question

(C) For a charge $q_{3}$ to be in equilibrium, the net electrostatic force acting on it must be zero.Let the distance of $q_{3}$ from $q_{1}$ be $x$.

Vedclass · Accepted Answer

possible irrespective of the sign of $q_{3}$.

Vedclass · Answer

(C) For a charge $q_{3}$ to be in equilibrium, the net electrostatic force acting on it must be zero.Let the distance of $q_{3}$ from $q_{1}$ be $x$. The force due to $q_{1}$ is $F_{1} = \frac{k q_{1} q_{3}}{x^{2}}$ and the force due to $q_{2}$ is $F_{2} = \frac{k q_{2} q_{3}}{(d-x)^{2}}$.For equilibrium, $F_{1} = F_{2}$ (in magnitude and opposite in direction).$\frac{k q_{1} q_{3}}{x^{2}} = \frac{k q_{2} q_{3}}{(d-x)^{2}}$$\frac{q_{1}}{x^{2}} = \frac{q_{2}}{(d-x)^{2}}$This equation shows that the position $x$ depends only on the magnitudes of $q_{1}$ and $q_{2}$ and the distance $d$. The charge $q_{3}$ cancels out from both sides of the equation.Therefore, the equilibrium position is independent of the sign and magnitude of the third charge $q_{3}$.Thus, it is possible irrespective of the sign of $q_{3}$.

Two point charges $+q_{1}$ and $+q_{2}$ are placed a finite distance '$d$' apart. It is desired to put a third charge $q_{3}$ in between these two charges so that $q_{3}$ is in equilibrium. This is

Similar Questions

$A$ charged particle of mass $m_{1}$ and charge $q_{1}$ is revolving in a circle of radius $r$. Another charged particle of charge $q_{2}$ and mass $m_{2}$ is situated at the centre of the circle. If the velocity and time period of the revolving particle are $v$ and $T$ respectively, then:

Four charges of magnitude $-Q$ are placed at the four corners of a square,and a charge $q$ is placed at the center. If the system is in equilibrium,the value of $q$ is ......

Two particles with charges $+3.72 \mu C$ and $+1.86 \mu C$ are at some distance apart. If $20 \%$ of the charge is transferred from the first particle to the second particle,then the electrostatic force between them is

Charges $q, 2q, 3q,$ and $4q$ are placed at the corners of a square as shown in the figure. $A$ charge $q_0$ is placed at its center. Find the net force on the charge $q_0$.

$A$ charge $Q$ is distributed over a line of length $L$. Another point charge $q$ is placed at a distance $r$ from the centre of the line distribution. Then the force experienced by $q$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module