Home
Class 12
PHYSICS
The field potentail in a certain region...

The field potentail in a certain region of space depends only on the `x` coordinate as `varphi = -ax^(2) + b`, where `a` and `b` are constants. Find the distribution of the space charge `rho (x)`.

Text Solution

Verified by Experts

The correct Answer is:
`6a epsi_(0) x`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    RESONANCE|Exercise Part - II|23 Videos
  • ELECTROMAGNETIC INDUCTION

    RESONANCE|Exercise A.l.P|19 Videos
  • EXPERIMENTAL PHYSICS

    RESONANCE|Exercise PART -II|10 Videos

Similar Questions

Explore conceptually related problems

The field potentail in a certain region of space depends only on the x coordinate as varphi = -ax^(3) + b , where a and b are constants. Find the distribution of the space charge rho (x) .

Let f(x) =ax^(2) -b|x| , where a and b are constants. Then at x = 0, f (x) is

Find the partial fractions of (ax+b)/((x-1)^(2)) , where a and b are constants.

Let f(x)=ax^(2)-b|x| , where a and b are constant . Then at x=0 , f(x) has

FInd the derivative by first principle ax+b where a and b are constants

A partical of mass m is located in a unidimensionnal potential field where potentical energy of the partical depends on the coordinates x as U (x) = (A)/(x^(2)) - (B)/(x) where A and B are positive constant. Find the time period of small oscillation that the partical perform about equilibrium possition.

The potential energy of a particle depends on its x-coordinates as U=(Asqrt(x))/(x^2 +B) , where A and B are dimensional constants. What will be the dimensional formula for A/B?

A particle of mass m is present in a region where the potential energy of the particle depends on the x-coordinate according to the expression U=(a)/(x^2)-(b)/(x) , where a and b are positive constant. The particle will perform.

The electric field strength depends only on the x and y coordinates according to the law E = a (x i + yj) (x^(2) + y^(2)) , where a is a constant , i and j are the unit vectors of the x and y axes. Find the flux of the vector E through a sphere of raidus R with its centre at the origin of coordinates.

A particles is in a unidirectional potential field where the potential energy (U) of a partivle depends on the x-coordinate given by U_(x)=k(1-cos ax) & and 'a' are constant. Find the physical dimensions of 'a' & k.

RESONANCE-ELECTROSTATICS-HLP
  1. A small ball of mass 2 xx 10^-3 kg, having a charge 1 mu C, is suspend...

    Text Solution

    |

  2. Three point charges q, 2q and 8q are to be placed on a . 9cm long st...

    Text Solution

    |

  3. The field potentail in a certain region of space depends only on the...

    Text Solution

    |

  4. A conducting sphere S1 of radius r is attached to an insulating handle...

    Text Solution

    |

  5. The electric field strength depends only on the x and y coordinates a...

    Text Solution

    |

  6. A solid non conducting sphere of radius R has a non-uniform charge dis...

    Text Solution

    |

  7. Two electric charges q and - 2 q are placed at a distance 6 m apart on...

    Text Solution

    |

  8. Two small metallic balls of radii R(1) & R(2) are kept in vacuum at a ...

    Text Solution

    |

  9. A ball of radius R carries a positive charge whose volume density dep...

    Text Solution

    |

  10. Consider an equilateral triangle ABC of side 2a in the plane of the pa...

    Text Solution

    |

  11. An electrostatic field line leaves at angle alpha from charge q(1) and...

    Text Solution

    |

  12. Figure shown two infinitely large conducting plates A and B. If electr...

    Text Solution

    |

  13. In a neutral conducting hollow sphere of inner and outer radii 5 cm an...

    Text Solution

    |

  14. Figure shows a system of three concentric metal shells, A, B and C wit...

    Text Solution

    |

  15. A point charge q is brought slowly from infinity and is placed at the ...

    Text Solution

    |

  16. Consider two solid dielectric spheres of radius a, separated by a dist...

    Text Solution

    |

  17. A triangle is made from thin insulating rods of different lengths, and...

    Text Solution

    |

  18. A square of side d, made from a thin insulating plate, is uniformly ch...

    Text Solution

    |

  19. A point charge q is located between two mutually perpendicular conduct...

    Text Solution

    |

  20. A point charge q is located at a distance l from an infinite condutin...

    Text Solution

    |