Home
Class 12
PHYSICS
There is a long, uniformly charged, non-...

There is a long, uniformly charged, non-conducting solid cylinder.

A

The magnitude of electric field intensity at any point inside the cylinder is directly proportional to the length of perpendicular drawn from a point on the axis of cylinder.

B

The magnitude of electric field intensity at any point outside the cylinder is inversely proportional to the length of perpendicular drawn from a point on the axis of cylinder.

C

Electric field intensity in not defined for the points on the axis of cylinder

D

Electric field intensity is zero for the points on the axis of cylinder

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
If r < R `rArr E=(rhor)/(2epsilon_0)`…(i)
If r > R `rArr E=(rhoR^2)/(2epsilon_0r)`….(ii)
Using the above two expressions of electric field intensity for this given non-conducting solid cylinder, we can see that options (a), (b) and (d) are correct. Option (c) is not correct because we have defined the zero value at the centre of cylinder for the electrie field intensity.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Objective Question (D.MCQ) Passage )|10 Videos

  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Objective Question (Assertion Reason ) )|15 Videos

  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Objective Question (BC.MCQ))|10 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

  • ELECTROMAGNETIC INDUCTION

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST FOR BOARD EXAMINATION|14 Videos

Similar Questions

Explore conceptually related problems

The given graph shows variation (with distance r from centre) of (A)Electric field of a uniformly charged conducting sphere (B)Electric field of a uniformly charged non-conducting sphere (C) Potential of a uniformly charged hollow sphere (D)Potential of a uniformly charged non- conducting solid sphere

A uniformly charged sphere, made up of non-conducting material and carrying charge Q, is placed near a uniformly charged non-conducting rod, carrying charge q. The centre of the sphere lies on the perpendicular bisector of the rod as shown in the figure. Calculate the force exerted by the sphere on the rod.

Knowledge Check

  • There is a uniformly charged non-conducting solid sphere. A small spherical cavity is made inside it. Distance of the centre of cavity is x from the centre of sphere

    A
    Electric field intensity inside the cavity is zero if x=0
    B
    Electric field intensity inside cavity is non-zero if `x ne 0`
    C
    Electric field inside the cavity is always uniform
    D
    The magnitude of electric field intensity inside the cavity is proportional to x.

  • There is a uniformly charged non-conducting solid sphere. A spherical cavity is made whose centre does not coincide with the centre of solid sphere. Electric field intensity inside the cavity is

    A
    directly proportional to distance of the point from centre of cavity
    B
    directly proportional to the distance of the point from centre of sphere
    C
    uniform
    D
    not predictable due to insufficient information

  • There is a uniformly charged non conducting solid sphere made of amterial of dielectric constant one. If electric potenial at infinity be zero. Then the potential at its surface is V. if we take electric potential at its surface to be zero. Then the potential at the centre will be

    A
    `(3V)/(2)`
    B
    `(V)/(2)`
    C
    V
    D
    zero

    • Similar Questions

    Explore conceptually related problems

    The electric field intensity at a distance 20 cm from the centre of a uniformly charged non conducting solid sphere of radius 10 cm is E .Then what is the electric field intensity at a distance 5 cm from the centre it will be.....

    (a) There is a long uniformly charged cylinder having a volume charge density of rho C//m^3 . Radius of the cylinder is R. Find the electric field at a point at a distance x from the axis of the cylinder for following cases (i) x lt R (ii) x gt R What is the maximum field produced by the charge distribution at any point? (b) The cylinder described in (a) has a long cylindrical cavity. The axis of cylindrical cavity is at a distance a from the axis of the charged cylinder (see figure). Find electric field inside the cavity.

    Electric dipole is placed near a uniformly charged large non-conducting surface.

    A charged particle having some mass is resting in equilibrium at a height H above the centre of a uniformly charged non-conducting horizontal ring of radius R . The equilibrium of the particle will be stable .

    There is one long non-conducting solid cylinder of radius R. The volume charge density is given by rho=kx^2 where k is a constant and x is the distance of the point from centre of cylinder. Electric field intensity inside the cylinder at a distance x from the centre is

    Home
    Profile