Home
Class 12
PHYSICS
A charge is distributed uniformly over a...

A charge is distributed uniformly over a ring of radius ‘a’. Obtain an expression for the electric intensity E at a point on the axis of the ring. Hence show that for points at large distances from the ring, it behaves like a point charge.

Text Solution

AI Generated Solution

To solve the problem of finding the electric intensity \( E \) at a point on the axis of a uniformly charged ring, we will follow these steps: ### Step 1: Understand the Configuration Consider a ring of radius \( a \) with a uniform charge \( Q \) distributed over it. Let \( P \) be a point on the axis of the ring at a distance \( x \) from the center of the ring. ### Step 2: Define Linear Charge Density Let \( \lambda \) be the linear charge density of the ring, given by: \[ ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CBSE EXAMINATION PAPER - 2016

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION - E|17 Videos

  • CBSE EXAMINATION PAPER - 2016

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION - B|5 Videos

  • CBSE BOARD EXAMNATION PAPER (2017 )

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION E|12 Videos

  • CBSE Examination Paper Delhi–2014

    CBSE COMPLEMENTARY MATERIAL|Exercise SET-III (Questions Uncommon to set-I and II)|9 Videos

Similar Questions

Explore conceptually related problems

A charge is distributed uniformaly over is ring of radius 'a' .Obtain an expression for the electric intensity E at a point on the axis of the ring. Hence show that for points at large distances from the ring, it behaves like a point charge.

A charge is distributed uniformly over a ring of radius r. obtain an expression for the electric intensity vecE at a point on the axis of the ring. Hence show that for points at large distances, the ring behaves as a point charge.

Knowledge Check

  • A ring of radius a contains a charge q distributed. uniformly ober its length. Find the electric field at a point. on the axis of the ring at a distance x from the centre.

    A
    `(kq^2)/(x(a^2+x^2)^(3/2))`
    B
    `(2kq^2x)/(a^2+x^2)^(3/2)`
    C
    `(kq^2x)/(a^2+x^2)^(3/2)`
    D
    `(kq^2)/(2x(a^2+x^2)^(3/2))`

    • Similar Questions

    Explore conceptually related problems

    A charge Q is uniformly distributed over a ring of radius a.Obtain an expression for electric field intensity at a point on the axis of ring. show that at far point ring behaves as a point charge.

    A charge Q is distributed uniformly on a ring of radius R as shown in the following diagrams. Find the electric potential at the centre O of the ring

    A thin circular ring of radius r is charged uniformly so that its linear charge density becomes lambda . Derive an expression for the electric field at a point P at a distance x from it along the axis of the ring. Hence, prove that at large distances (r gtgt r), the ring behaves as a point charge.

    A charge Q is distributed uniformly on a ring of radius R as shown in the following diagrams. Find the electric potential at the center O of the ring. (a)

    Mass of 10 kg is distributed uniformly over a ring of radius 1m. Find the gravitational potential at a point lies on the axis of the ring at a distance of 1m from the centre.

    Mass of 20 kg is distributed uniformly over a ring of radius 2m. Find the the grvitational field at a point lies an th axis of the ring at a distance of 2 sqrt(3) m from the centre.

    A charge of 4xx10^(-9)C is distributed uniformly over the circumference of a conducting ring of radius 0.3m. Calculate the field intensity at a point on the axis of the ring at 0.4m from its centre, and also at the centre.

    Home
    Profile