Two equally charged small balls placed at a f | vedclass

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

Question

(B) Let the charges on the two balls be $q$ and $q$,and the distance between them be $r$. The initial force is $F = k \frac{q^2}{r^2}$.When an uncharg

Vedclass · Accepted Answer

$F$

Vedclass · Answer

(B) Let the charges on the two balls be $q$ and $q$,and the distance between them be $r$. The initial force is $F = k \frac{q^2}{r^2}$.When an uncharged ball touches one of the charged balls,the charge $q$ is shared equally between them. Thus,the charge on the first ball becomes $q/2$ and the charge on the third ball becomes $q/2$.The third ball is placed at the midpoint,so its distance from both balls is $r/2$.The force on the third ball due to the first ball is $F_1 = k \frac{(q/2)(q/2)}{(r/2)^2} = k \frac{q^2/4}{r^2/4} = k \frac{q^2}{r^2} = F$ (directed away from the first ball).The force on the third ball due to the second ball is $F_2 = k \frac{(q/2)(q)}{(r/2)^2} = k \frac{q^2/2}{r^2/4} = 2k \frac{q^2}{r^2} = 2F$ (directed away from the second ball).Since these forces are in opposite directions,the net force on the third ball is $F_{net} = |F_2 - F_1| = |2F - F| = F$.

Two equally charged small balls placed at a fixed distance experience a force $F$. $A$ similar uncharged ball after touching one of them is placed at the middle point between the two balls. The force experienced by this ball is:

Similar Questions

Two point charges $Q$ each are placed at a distance $d$ apart. $A$ third point charge $q$ is placed at a distance $x$ from the mid-point on the perpendicular bisector. The value of $x$ at which charge $q$ will experience the maximum Coulomb force is ...............

Two point charges $+8 q$ and $-2 q$ are located at $x=0$ and $x=L$ respectively. The location of a point on the $x$-axis from the origin,at which the net electric field due to these two point charges is zero is

Two identically charged pith balls are suspended from the same point by two massless identical threads. The density of each ball is $\rho$. If the system is immersed in a medium of density $\sigma$ and the balls remain at the same angle of deflection,then the dielectric constant of the medium is:

Three charges $4q$,$Q$,and $q$ are placed in a straight line at positions $0$,$l/2$,and $l$ respectively. The resultant force on $q$ will be zero if $Q = $

$A$ charge $Q$ is divided into two parts $q$ and $Q - q$. If the Coulomb repulsion between them when they are separated by a distance $r$ is to be maximum,the ratio of $\frac{Q}{q}$ should be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module