1800-150-456-789
FlagBACK
Flag Electrostatics> A small particle of mass m and charge -q ...
question mark

A small particle of mass m and charge -q is placed at point P on the axis of uniformly charged ring and released. If R>>x, the particle will undergo oscillations along the axis of symmetry with an angular frequency that is equal to ?

Md Saif Akhtar , 7 Years ago
Grade 12
anser 2 Answers
Shoubhik

Last Activity: 7 Years ago

We know that Electric field due to a ring is
:E=\frac{kqx}{2(R^{2}+x^{2})^{3/2}}
Let the charge -q= q_{0} for convenience,
so force acting on the charge is
F=q_{0}E
For small displacement:
E=\frac{kqx}{2R^{3}}
Restoring force acting on charge:
F=Kx
So by both equations we get,
Kx=\frac{kqx}{2R^{3}}
=>K=\frac{kq}{2R^{3}}
But
K=m\omega ^{2}
So,
\omega=\sqrt{\frac{kq}{2mR^{3}}}

Yash Shisode

Last Activity: 5 Years ago

E=(KQx)/(R^2 + x^2) ^3/2     
As R>>>x,  x^2 
Therefore,  E=(KQx)/R^3       -----------(1) 
F=m(omega) ^2 x      -----------------------(2) 
F=qE                            -----------------------(3) 
 
From 1,2&3 
 
m(omega) ^2 x =( kqQx) /R^3
 
Omega  =   √(KqQ) /√(mR^3) 
               =  √(qQ) /√(4π£mR^3)      as K=1/4π£
 
 
 
 
 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on Electrostatics

question mark
Electrostatics question based on earthing of spherical shell
Electrostatics
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
an object has a charge of 2c and gains 10^19 electrons. the net chaarge on the object becomes??
Electrostatics
1 Answer Available

Last Activity: 2 Year ago(s)

question mark
A wire with a linear charge density lambda forms a quarter of a cjrclenof radius R and is placed asa shown in thefigure with its centre of curvature at the origin O the electric field at O will be
Electrostatics
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Find the value of q so that system remains in equilibrium.. figure attached below
Electrostatics
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Find the value of q so that system remains in equilibrium
Electrostatics
0 Answer Available

Last Activity: 2 Year ago(s)