help@askiitians.com

1800-150-456-789

Electrostatics> a particle of mass m and carrying charge ...

question mark

a particle of mass m and carrying charge -q1 is moving around +q2 along a circular path of radius r. Find period of revolution of the charge -q1

vinayak singh , 7 Years ago

Grade 12

2 Answers

Eshan

Last Activity: 6 Years ago

We are assuming that the charge $+q_2$ is fixed,

The centripetal acceleration of the charge $-q_1$ will be provided by the coulombic attraction by the other charge.
$\implies \dfrac{mv^2}{r}=\dfrac{1}{4\pi\epsilon_0}\dfrac{q_1q_2}{r^2}$
$\implies v=\sqrt{\dfrac{q_1q_2}{4\pi m\epsilon_0r}}$
Hence the time period of revolution= $\dfrac{2\pi r}{v}=\sqrt{\dfrac{16\pi^3 m\epsilon_0 r^3}{q_1q_2}}$

Kushagra Madhukar

Last Activity: 4 Years ago

Dear student,

Please find the answer to your question.

The coulombic force will be the source of centripetal force, hence both are equal.

On solving this we get, Period of revolution, T = √16π³mε₀r³/q₁q₂

Thanks and regards,

Kushagra

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

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

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

Ask a Doubt

Get your questions answered by the expert for free

Electrostatics question based on earthing of spherical shell

electrostatics

0 Answer Available

Last Activity: 2 Years ago

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: 3 Years ago

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: 3 Years ago

Find the value of q so that system remains in equilibrium.. figure attached below

electrostatics

0 Answer Available

Last Activity: 3 Years ago

Find the value of q so that system remains in equilibrium

electrostatics

0 Answer Available

Last Activity: 3 Years ago

View all Questions