Two identical charged particles,each having a | vedclass

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

Question

(A) For the particles to be in limiting equilibrium,the electrostatic repulsive force must be equal to the maximum static frictional force.Electrostat

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(A) For the particles to be in limiting equilibrium,the electrostatic repulsive force must be equal to the maximum static frictional force.Electrostatic force $F_e = \frac{kq^2}{L^2}$,where $k = 9 	imes 10^9 \, N \cdot m^2/C^2$.Frictional force $F_f = \mu mg$,where $\mu = 0.25$,$m = 10 	imes 10^{-3} \, kg$,and $g = 10 \, m/s^2$.Equating the two: $\frac{kq^2}{L^2} = \mu mg$.$L^2 = \frac{kq^2}{\mu mg} = \frac{(9 	imes 10^9) 	imes (2.0 	imes 10^{-7})^2}{0.25 	imes (10 	imes 10^{-3}) 	imes 10}$.$L^2 = \frac{9 	imes 10^9 	imes 4 	imes 10^{-14}}{0.25 	imes 0.1} = \frac{36 	imes 10^{-5}}{0.025} = \frac{36 	imes 10^{-5}}{25 	imes 10^{-3}} = 1.44 	imes 10^{-2} \, m^2$.$L = \sqrt{1.44 	imes 10^{-2}} = 1.2 	imes 10^{-1} \, m = 0.12 \, m = 12 \, cm$.

Similar Questions

Three parallel metal plates,each of area $A$,are placed as shown in the figure. Charges $Q_1$,$Q_2$,and $Q_3$ are given to them. Edge effects are negligible. Calculate the charge on the two outermost surfaces '$a$' and '$f$'.

Two free point charges $+q$ and $+4q$ are a distance $R$ apart. $A$ third charge is so placed that the entire system is in equilibrium. Then the third charge is :-

Two fixed charges $+4\,Q$ and $-Q$ are located at $A$ and $B$ respectively,with the distance $AB = 3\,m$.

Four electric charges $+Q, -Q, +Q$,and $-Q$ are placed at the four corners of a square. What are the electric field $(E)$ and electric potential $(V)$ at the center of the square?

$A$ charge $Q$ is placed at each of the opposite corners of a square. $A$ charge $q$ is placed at each of the other two corners. If the net electrical force on $Q$ is zero,then $\frac{Q}{q} = $ . . . . . .

Vedclass Test Series

Exam Paper Generator

Online Exam Module