Home
Class 11
PHYSICS
Due to a charge inside a cube the electr...

Due to a charge inside a cube the electric field is `E_(x)=600 x^(1//2), E_(y)=0, E_(z)=0`. The charge inside the cube is (approximately):

A

`600 mu C`

B

`60 muC`

C

`7 mu mu C`

D

`6 mu mu C`

Text Solution

Verified by Experts

The correct Answer is:
C

`q=in_(0) int vec(E)_(x).dvec(x)=in_(0)xx600 underset(0.1)overset(0.2)(int) (dx)/sqrt(x)=7xx10^(-12) C`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exersice-03|7 Videos
  • MISCELLANEOUS

    ALLEN|Exercise ASSERTION-REASON|18 Videos
  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

Due to a charge inside the cube, the electric field is: E_(x) = 600x, E_(y) = 0, E_(z) = 0. The charge inside the cube is nearly -

A cube of side a is placed such that the nearest face , which is parallel to the yz plane , is at a distance a from the origin . The electric field components are E_(x) = alpha x ^(1//2) , E_(y) = E_(z) = 0 . The charge within the cube is

A cube of side a is placed such that the nearest face , which is parallel to the yz plane , is at a distance a from the origin . The electric field components are E_(x) = alpha x ^(1//2) , E_(y) = E_(z) = 0 . The flux phi_(E) through the cube is

The electric field componets due to a charge inside the cube of side 0.1m are E_(x) = alpha x, where alpha = 500 (N//C) m^(-1) , E_(y) = 0, E_(z) = 0 . Calculate the flux through the cube and the charge inside the cube.

If a uniform electric field in existing inside a cube, then the net charge enclosed inside the cube is ___

A cube of arranged such that its length ,breadth ,height are along X,Y,Z directions one of its corners is situated at the origin Length of each side of the cube is 25cm .The components of electric field are E_(x)=400sqrt(2)N//C E_(y)=0 and E_(z)=0 respectively.Flux coming out of the cube at one end will be

(a) Define electric flux. Write its SI units. (b) The electric field components due to a charge inside the cube of side 0.1 m are as shown : E_(x)=alpha x, where alpha=500N//C-m E_(y)=0, E_(z)=0 . Calculate (i) the flux through the cube, and (ii) the charge inside the cube.

The electric components in the figure are E_(x)=alphax^(1//2) ,E_(y)=0,E_(z)=0 where alpha=800N//m^(2) if a=0.1m is the side of cube then the charge with in the cube is

A cube is placed inside an electric field, vec E = 150 y^2 hatj . The side of the cube is 0.5 m and is placed in the field as shown in the given figure. The charge inside the cube is :

A cube is placed inside an electric field, vec E = 150 y^2 hatj . The side of the cube is 0.5 m and is placed in the field as shown in the given figure. The charge inside the cube is :

ALLEN-MISCELLANEOUS-Exercise-01
  1. Uniform electric field of magnitude 100 V//m in space is directed alon...

    Text Solution

    |

  2. The equation of an equipotential line in an electric field is y = 2 x...

    Text Solution

    |

  3. In a certain region of space, the potential is given by V=k(2x^(2)-y^(...

    Text Solution

    |

  4. Figure shown two equipotential lies x, y plane for an electric field. ...

    Text Solution

    |

  5. The electric potential V(z, y,z) for a planar charge distribution is g...

    Text Solution

    |

  6. Three equal charges are placed at the corners of an equilateral triang...

    Text Solution

    |

  7. A non-conducting ring of radius 0.5 m carries a total charge 1.11xx10^...

    Text Solution

    |

  8. Two point charges +q and -q are held fixed at (-d,o) and (d,0) respect...

    Text Solution

    |

  9. The work in rotating electric dipole of dipole moment p in an electric...

    Text Solution

    |

  10. Which one of the following pattern of electric line of force can't pos...

    Text Solution

    |

  11. A sphere of radius R and charge Q is placed inside an imaginary sphere...

    Text Solution

    |

  12. Due to a charge inside a cube the electric field is E(x)=600 x^(1//2),...

    Text Solution

    |

  13. Electric flux through a surface of area 100 m^(2) lying in the plane i...

    Text Solution

    |

  14. Two spherical , nonconducting and very tin shells of uniformly distrib...

    Text Solution

    |

  15. A solid metallic sphere has a charge +3Q. Concentric with this sphere ...

    Text Solution

    |

  16. A hollow metal sphere of radius 5 cm is charged such that the potentia...

    Text Solution

    |

  17. A solid conducting sphere having a charge Q is surrounded by an unchar...

    Text Solution

    |

  18. A cube of a metal is given a positive charge Q. For the above system, ...

    Text Solution

    |

  19. A metallic solid is placed in a uniform electric field. The lines of f...

    Text Solution

    |

  20. A solid spherical conducting shell has inner radius a and outer radius...

    Text Solution

    |