Three point charges +q,+2q,and +4q are placed | vedclass

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

Question

(D) Let the distance between $+q$ and $+2q$ be $r$,and the distance between $+2q$ and $+4q$ be $r$. Thus,the distance between $+q$ and $+4q$ is $2r$.T

Vedclass · Accepted Answer

$1: 3$

Vedclass · Answer

(D) Let the distance between $+q$ and $+2q$ be $r$,and the distance between $+2q$ and $+4q$ be $r$. Thus,the distance between $+q$ and $+4q$ is $2r$.The net electrostatic force $F_1$ on charge $+q$ is the sum of forces due to $+2q$ and $+4q$:$F_1 = \frac{k(q)(2q)}{r^2} + \frac{k(q)(4q)}{(2r)^2} = \frac{2kq^2}{r^2} + \frac{4kq^2}{4r^2} = \frac{2kq^2}{r^2} + \frac{kq^2}{r^2} = \frac{3kq^2}{r^2}$.The net electrostatic force $F_2$ on charge $+4q$ is the sum of forces due to $+2q$ and $+q$:$F_2 = \frac{k(4q)(2q)}{r^2} + \frac{k(4q)(q)}{(2r)^2} = \frac{8kq^2}{r^2} + \frac{4kq^2}{4r^2} = \frac{8kq^2}{r^2} + \frac{kq^2}{r^2} = \frac{9kq^2}{r^2}$.The ratio of the net electrostatic force on charges $+q$ and $+4q$ is:$\frac{F_1}{F_2} = \frac{3kq^2/r^2}{9kq^2/r^2} = \frac{3}{9} = 1:3$.

Three point charges $+q$,$+2q$,and $+4q$ are placed along a straight line such that the charge $+2q$ is equidistant from the other two charges. The ratio of the net electrostatic force on charges $+q$ and $+4q$ is

Similar Questions

The charges on two spheres are $+7\,\mu C$ and $-5\,\mu C$ respectively. They experience a force $F$. If each of them is given an additional charge of $-2\,\mu C$,the new force of attraction will be

Two point charges $A$ and $B$,having charges $+Q$ and $-Q$ respectively,are placed at a certain distance apart and the force acting between them is $F$. If $25 \%$ of the charge of $A$ is transferred to $B$,then the force between the charges becomes

In the figure,the force on the charge at $A$ in the direction perpendicular to $BC$ is ...... .

$A$ point charge $q_1$ exerts an electric force on a second point charge $q_2$. If a third charge $q_3$ is brought near,the electric force of $q_1$ exerted on $q_2$:

Vedclass Test Series

Exam Paper Generator

Online Exam Module