Home
Class 12
MATHS
An ellipsoidal gaussion surface with sem...

An ellipsoidal gaussion surface with semi major axis a and minor axis b is shown in figure. An electric field `vecE=(C(xhati+yhatj+zhatk))/((x^(2)+y^(2)+z^(2))^(3//2))` exist in space.

A

Ne flux through constant gaussion surface is `4piC`

B

Net charge enclosed by gaussion surface is `4puC epsilon_(0)`

C

If given surface is a conductor electric potential at all its inside points may be constant for given field function

D

If given surface is a conductor electric field at its inside points may be constant for given field function

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

An electric field prevailing in a region depends only on x and y coordinates according to an equation vecE = b(xhati + yhatj)/(x^(2) + y^(2)) where & is a constant. Flux passing through a sphere of radius r whose centre is on the origin of the coordinate system is…………..

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1

Find foci, equation of directrix, length of major axis and minor axis of ellips (x^(2))/(36) + (y^(2))/(144) = 1 .

Find the length of major axis and its eccentricity of (x^2)/16 +y^2/25=1

Length of major axis of ellipse 25x^2+9y^2=1 is ........ .

A small electric dipole is placed at origin with its dipole moment directed along positive x-axis. The direction of electric field at point (2, 2sqrt(2), 0) is

A graph of the x-component of the electric field as a function of x in a region of space is shown in figure. The y- and z-components of the electric field are zero in this region. If the electric potential is 10 V at the origin, then the potential at x = 2.0 m is

Find the values of x,y and z so that the vectors veca=xhati+2hatj+zhatkandvecb=2hati+yhatj+hatk are equal .

An electric dipole coincides on Z-axis and its mid point is on origin of the co-ordinate system. The electric field at an axial point at a distance z from origin is vecE_(z) and electric field at an equatorial point at a distance y from origin is vecE_(y) Here, z=y gt gt a , so |vecE_(x)|/|vecE_(y)|= ...............

ALLEN -TEST PAPERS-PHYSICS
  1. Three metallic plates out of which middle is given charge Q as shown i...

    Text Solution

    |

  2. A neutral conductor of radius R has a spherical cavity of radius R/4 a...

    Text Solution

    |

  3. An ellipsoidal gaussion surface with semi major axis a and minor axis ...

    Text Solution

    |

  4. For given circuit, select correct alternative(s)

    Text Solution

    |

  5. If Q is the charge on the plates of a capacitor of capacitance C,V the...

    Text Solution

    |

  6. Case I- represents two concentric spheres of inner radius a and outer ...

    Text Solution

    |

  7. Case I- represents two concentric spheres of inner radius a and outer ...

    Text Solution

    |

  8. Five identical capacitors (initially uncharged) are connected in circu...

    Text Solution

    |

  9. Five identical capacitors (initially uncharged) are connected in circu...

    Text Solution

    |

  10. Total momentum of electrons in a straight wire of length L carrying I ...

    Text Solution

    |

  11. A comet is in elliptical orbit around the sun. In this orbit the comet...

    Text Solution

    |

  12. A parallel plate capacitor is to be designed which is to be connected ...

    Text Solution

    |

  13. Two small dipoles 2phatk and p hatk are located at (0,5,0) and (1,5,2)...

    Text Solution

    |

  14. The average time of revolution of the Soviet ship - satel - nick Vosto...

    Text Solution

    |

  15. In the network the current (in A) in the resistor 6Omega is

    Text Solution

    |

  16. A galvanometer, having a resistance of 50Omega gives a full scale defl...

    Text Solution

    |

  17. Atorch bulb rated is 4.5W1.5V is connected as shwon in the figure. The...

    Text Solution

    |

  18. Two blocks of mass 2kg and 3 kg having coefficient of static friction ...

    Text Solution

    |

  19. A ball is projected from a building of height 20m at a speed of 3m//se...

    Text Solution

    |

  20. In the figure shown two boats start with speed v(A) & v(B) relative to...

    Text Solution

    |