Home
Class 12
PHYSICS
Assume that a point charge q is projecte...

Assume that a point charge q is projected from a large distance toward the center of a fixed charged ring along its axis. What should be its initial velocity so that the charge may reach the other side of infinity?

Text Solution

AI Generated Solution

To solve the problem of determining the initial velocity required for a point charge \( q \) to reach the other side of infinity when projected toward the center of a fixed charged ring, we can follow these steps: ### Step 1: Understand the System We have a fixed charged ring with charge \( Q \) and radius \( A \). A point charge \( q \) is projected from a large distance (infinity) towards the center of the ring along its axis. ### Step 2: Identify the Forces and Energy Conservation Since the charge \( q \) is projected towards the ring, we need to consider the forces acting on it. The ring exerts an electric force on the charge \( q \). To find the initial velocity needed, we will use the principle of conservation of energy. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTRIC POTENTIAL

    RESNICK AND HALLIDAY|Exercise SAMPLE PROBLEM 24.16 Finding the field from the potential|1 Videos

  • ELECTRIC POTENTIAL

    RESNICK AND HALLIDAY|Exercise SAMPLE PROBLEM 24.17 Acceleration of charge of given potential|1 Videos

  • ELECTRIC POTENTIAL

    RESNICK AND HALLIDAY|Exercise SAMPLE PROBLEM 24.14 Field and potential inside a charged spherical shell|1 Videos

  • ELECTRIC CHARGES AND FIELDS

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type )|3 Videos

  • ELECTROMAGNETIC INDUCTION

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|14 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m and charge +q approaches from a very large distance towards a uniformly charged ring ofradius Rand charge, mass same as that of particle, with initial velocity v_(0) along the axis of the ring as shown in the figure-1.420. What is the closest distance of approach between the ring and the particle? Assume the space to be gravity free and frictionless :

Calculate distance of the point from the centre of a uniformly charged ring on its axis, where it electric field intensity becomes maximum.

Knowledge Check

  • A point charge +q is placed at a distance d from an isolated conducting plane. The field at a point P on the other side of plane is

    A
    directed perpendicular to the plane away from the plane
    B
    directed perpendicular to the plane but towards the plane
    C
    directed radially away from the point charge
    D
    directed radially towards the point charge

  • Two identical coaxial rings each of radius R are separated by a distance of sqrt3R . They are uniformly charged with charges +Q and -Q respectively. The minimum kinetic energy with which a charged particle (charge +q ) should be projected from the centre of the negatively charged ring along the axis of the rings such that it reaches the centre of the positively charged ring is

    A
    `(Qq)/(4piepsilon_0R)`
    B
    `(Qq)/2piepsilon_0R)`
    C
    `(Qq)/(8piepsilon_0R)`
    D
    `(3Qq)/(4piepsilon_0R)`

  • An electron released on the axis of a positively charged ring at a large distance from the centre will

    A
    Not move
    B
    Do oscillatory motion
    C
    Do SHM
    D
    Do non-periodic motion

    • Similar Questions

    Explore conceptually related problems

    A point charge of charge -q and mass m is released with negligible speed from a distance sqrt(3) R on the axis of a fixed uniformly charged ring of charge Q and radius R. Find out its velocity when it reaches it reaches at the centre of the ring.

    Two concentric rings placed in a gravity free region in yz-plane one of radius R carries a + Q and second of radius 4R and charge –8Q distributed uniformly over it. Find the velocity with which a point charge of mass m and charge +q should be projected from a a distance 3R from the centre of rings on its axis so that it will reach to the centre of the rings.

    Two fixed charges are as shown. Where should the third charge be placed so that its in equilibrium?

    A point charge +q is placed at a distance d from an isolated conductin plane. The field at a point P on the other side of the plane is

    A spherical conductor A contains two spherical cavities as shown in Fig.2.127. The total charge on conductor itself is zero . However , there is a point charge q_(1) at the center of one cavity and q_(2) at the center of the other cavity . Another charge q_(3) is placed at a large distance r from the center of the spherical conductor. If q_(1) is displaced from its center slightly (being always inside the same cavity ), then the correct representation of field lines inside the same cavity is

    Home
    Profile