Home
Class 12
PHYSICS
Draw a graph of electric field E(r) with...

Draw a graph of electric field E(r) with distance r from the centre of the shell for `0 le r le 0` .

Text Solution

AI Generated Solution

To draw the graph of the electric field \( E(r) \) with distance \( r \) from the center of a charged spherical shell for \( 0 \leq r \leq R \) (where \( R \) is the radius of the shell), we can follow these steps: ### Step 1: Understanding the Electric Field Inside a Charged Shell For a uniformly charged spherical shell, the electric field inside the shell (for \( r < R \)) is zero. This is a consequence of Gauss's law, which states that the electric field inside a closed conductor is zero when in electrostatic equilibrium. ### Step 2: Electric Field at the Surface of the Shell At the surface of the shell (where \( r = R \)), we can calculate the electric field using Gauss's law. The electric field just outside the surface of the shell is given by: \[ ...
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise Revision Exercises (Long Answer )|15 Videos
  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise Revision Exercises (Numerical Problems )|7 Videos
  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise Revision Exercises (Fill in the Blanks )|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

A conducting shell of radius R carries charge -Q . A point charge +Q is placed at the centre. The electric field E varies with distance r (from the centre of the shell) as

Which one of the following graphs represents the variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

An isolated solid metal sphere of radius R is given an electric charge. The variation of the intensity of the electric field with the distance r from the centre of the sphere is best shown by

A metallic spherical shell of radius R has a charge -Q on it. A point charge +Q is placed at the centre of the shell. Which of the graphs shown below may correctly represent the variation of electric field E with distance r from the centre of shell ?

Assuming that a positive charge Q is uniformly distributed over the surface of a shell, the field at a distane r from the centre of the shell where r = 3R (R being the radius of the shell ), is

Two concentric spherical shells of radii R and 2R have charges Q and 2Q as shown in figure If we daw a graph between electric field E and distance r from the centre, it will be like

A conducting sphere of radius R is charged to a potential of V volts. Then the electric field at a distance r ( gt R) from the centre of the sphere would be

If the potential at the centre of a uniformly charged hollow sphere of radus R is V, then electric field at a distance r from the centre of sphere will be (rgtR) .

Consider the previous problem , let the outer shell have the charge - 4 q . As in the above problem , the inner shell has the charge + 2q . Calculate the electric field in terms of q and the distance r from the common center of the two shells for The graph of the radial component of E as function of r will be

MODERN PUBLICATION-ELECTRIC CHARGES AND FIELDS -Revision Exercises (Short Answer )
  1. Using Gauss's law, derive an expression for the electric field intens...

    Text Solution

    |

  2. Calculate distance of the point from the centre of a uniformly charged...

    Text Solution

    |

  3. Draw a graph of electric field E(r) with distance r from the centre of...

    Text Solution

    |

  4. State Gauss's law in electrostatics. Applying Gauss's law derive the e...

    Text Solution

    |

  5. Is coulomb's law in electrostatics valld in all situations ?

    Text Solution

    |

  6. Two positive charges which are 0.1m apart repel each other with a fo...

    Text Solution

    |

  7. Plot a graph showing the variation of coulomb force (F) versus ((1)/(r...

    Text Solution

    |

  8. A charge Q is distributed uniformly on a ring of radius R as shown in...

    Text Solution

    |

  9. State Gauss's law in electrostatics. Using this law derive an expressi...

    Text Solution

    |

  10. A small metal sphere carrying charge +Q is located at the centre of a ...

    Text Solution

    |

  11. Define electric dipole moment. Is it a scalar or a vector? Derive the ...

    Text Solution

    |

  12. A dipole of moment vecp is placed in a uniform electric field vecE. Th...

    Text Solution

    |

  13. (a) Three point charges q,-4q and 2q are placed at the vertices of an ...

    Text Solution

    |

  14. Two point charges q(A)=3muC and q(B)=-3muC are located 0.2 m apart in ...

    Text Solution

    |

  15. Using Gauss's law, derive an expression for the electric field intens...

    Text Solution

    |

  16. Two point charges q(A) = 3 mu C and q(B) = -3 muC are located 20 cm ...

    Text Solution

    |

  17. Obtain the expression for the torque vectau experienced by an electric...

    Text Solution

    |

  18. Use Gauss' theorem to find the electric field due to a uniformly charg...

    Text Solution

    |

  19. Define dielectric constant. Two charges +-20xx10^(-6)C, placed 2 mm ap...

    Text Solution

    |

  20. The volume charge density within a volume V is rho(r). What is the for...

    Text Solution

    |