Q. 335.0( 4 Votes )

# Repeat the previous problem if the particle is displaced through a distance x along the line AB.

Answer :

Given:
Charge of particles A and B : q = Q
Separation between A and B : d

Here x is the displacement of particle C along AB.
Distance between A and C is :

Distance between B and C is :

Formula used:
For part (a), we will be using Coulomb’s Law,
Where F is the electrostatic force on B due to A, k is a constant .
k =
= 9× 109 Nm2C-2 and r is the distance between the two charges.
q1=q2=Q.
now, the net force acting on C is:

Fnet is the net electric force experience by particle C of charge q.
(b)
When x
d,
x2
(d/2)2
Thus x2 can be neglected.
We get,

Fnet α x

Thus, when xd force is proportional to x

(c)
The condition for Simple harmonic Motion of a particle is:
F'=mω2x
Here, m is the mass of the particle C, ω is the angular frequency.
Let Fnet = F’
Thus comparing two equations of F’, we get
We know that Where t is the Time Period.

Hence time period when particle is displaced along AB is

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Superfast Revision of Potential & Potenial Energy (Theory + Interactive Quiz)47 mins
Check your knowledge of Electric Potential | Quiz45 mins
Relation between electric field and potential34 mins
Relation between Electric field & Potential45 mins
Interactive quiz on Relation between electric field and potential43 mins
Electric field inside cavity37 mins
Few Applications of Gauss's law54 mins
Test Your Knowledge of Electric Charge & Coulomb's Law47 mins
Electric potential inside solid and hollow sphere30 mins
Electric Field Lecture47 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses