Two small spheres,each having an equal positi | vedclass

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

Question

(A) In the absence of gravity,the only force acting on each sphere is the electrostatic repulsive force $F$ and the tension $T$ in the string.Since th

Vedclass · Accepted Answer

$\frac{Q^2}{16 \pi \varepsilon_0 L^2}$

Vedclass · Answer

(A) In the absence of gravity,the only force acting on each sphere is the electrostatic repulsive force $F$ and the tension $T$ in the string.Since the spheres are in equilibrium in a horizontal position,the distance between the two spheres is $2L$.The electrostatic force between the two spheres is given by Coulomb's law:$F = \frac{1}{4 \pi \varepsilon_0} \frac{Q \cdot Q}{(2L)^2} = \frac{1}{4 \pi \varepsilon_0} \frac{Q^2}{4L^2} = \frac{Q^2}{16 \pi \varepsilon_0 L^2}$Since the system is in equilibrium,the tension $T$ in each string must balance the electrostatic force $F$ acting on each sphere.Therefore,$T = F = \frac{Q^2}{16 \pi \varepsilon_0 L^2}$.

Similar Questions

Charges $4Q$,$q$,and $Q$ are placed along the $x$-axis at positions $x = 0$,$x = l/2$,and $x = l$,respectively. Find the value of $q$ such that the net force on charge $Q$ is zero.

Two point charges of $1 \, \mu\text{C}$ and $5 \, \mu\text{C}$ are placed at a distance of $4 \, \text{cm}$ apart. The ratio of the forces exerted by them on each other will be:

An electron is moving around the nucleus of a hydrogen atom in a circular orbit of radius $r$. The Coulomb force $\vec{F}$ between the two is

$ABC$ is a right-angled triangle in which $AB = 3 \ cm$,$BC = 4 \ cm$ and the right angle is at $B$. Three charges $+15 \ \mu C$,$+12 \ \mu C$ and $-20 \ \mu C$ are placed respectively at $A$,$B$ and $C$. The force acting on the charge at $B$ is (in $N$)

Two charged spheres separated at a distance $d$ exert a force $F$ on each other. If they are immersed in a liquid of dielectric constant $2$,then what is the force (if all conditions are same)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module