हिंदी

The Electric Field Intensity Outside the Charged Conducting Sphere of Radius ‘R’, Placed in a Medium of Permittivity ∈ at a Distance ‘R’ from the Centre of the Sphere in Terms of Surface Charge Densit - Physics

Advertisements
Advertisements

प्रश्न

The electric field intensity outside the charged conducting sphere of radius ‘R’, placed in a medium of permittivity ∈ at a distance ‘r’ from the centre of the sphere in terms of surface charge density σ is

विकल्प

  • `σ/∈ (R/r)^2`

  • `σ/∈ (r/R)^2`

  • `σ/∈ (R^2/r^2)^2`

  • `σ/∈ (r^2/R^2)^2`

MCQ

उत्तर

`σ/∈ (R/r)^2`

By using Gauss theorem we know that

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2018-2019 (February) Set 1

संबंधित प्रश्न

A 36 cm long sonometer wire vibrates with frequency of 280 Hz in fundamental mode, when it is under tension of 24.5 N. Calculate linear density of the material of wire.


"For any charge configuration, equipotential surface through a point is normal to the electric field." Justify.


A point charge of 2.0 μC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?


A point charge causes an electric flux of −1.0 × 103 Nm2/C to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charge.

  1. If the radius of the Gaussian surface were doubled, how much flux would pass through the surface?
  2. What is the value of the point charge?

Electric intensity outside a charged cylinder having the charge per unit length 'λ' at a distance from its axis is ________.

(a) E = `(2pi in_0 lambda)/(Kr^2)`

(b) E = `(in_0 lambda)/(2piKr^2)`

(c) E = `lambda/(2piin_0Kr)`

(d) E = `(4piin_0lambda)/(Kr^2)`


If the point charge is now moved to a distance 'd' from the centre of the square and the side of the square is doubled, explain how the electric flux will be affected.


Use Gauss' law to derive the expression for the electric field `(vecE)` due to a straight uniformly charged infinite line of charge density λ C/m.


Draw a graph to show the variation of E with perpendicular distance r from the line of charge.


 A closed surface in vacuum encloses charges –q and +3q. The total electric flux emerging out of the surface is :


Charge motion within the Gaussian surface gives changing physical quantity ______.

Which statement is true for Gauss law -


A spherical ball contracts in volume by 0.02% when subjected to a pressure of 100 atmosphere. Assuming one atmosphere = 105 Nm−2, the bulk modulus of the material of the ball is:


If the ratio of radii of two wires of same material is 3 : 1 and ratio of their lengths is 5 : 1, then the ratio of the normal forces that will produce the same extension in the length of two wires is:


Sketch the electric field lines for a uniformly charged hollow cylinder shown in figure.


Consider a sphere of radius R with charge density distributed as

ρ(r)  = kr for r ≤ R

        = 0 for r > R

  1. Find the electric field at all points r.
  2. Suppose the total charge on the sphere is 2e where e is the electron charge. Where can two protons be embedded such that the force on each of them is zero. Assume that the introduction of the proton does not alter the negative charge distribution.

  1. Obtain the expression for the electric field intensity due to a uniformly charged spherical shell of radius R at a point distant r from the centre of the shell outside it.
  2. Draw a graph showing the variation of electric field intensity E with r, for r > R and r < R.

A solid metal sphere of radius R having charge q is enclosed inside the concentric spherical shell of inner radius a and outer radius b as shown in the figure. The approximate variation of the electric field `vecE` as a function of distance r from centre O is given by ______.


An infinitely long positively charged straight wire has a linear charge density λ. An electron is revolving in a circle with a constant speed v such that the wire passes through the centre, and is perpendicular to the plane, of the circle. Find the kinetic energy of the electron in terms of the magnitudes of its charge and linear charge density λ on the wire.


Draw a graph of kinetic energy as a function of linear charge density λ.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×