Home
Class 12
PHYSICS
In a region, electric field depends on X...

In a region, electric field depends on X-axis as E=`E_0 x^2`. There is a cube of edge a as shown. Then find the charge enclosed in that cube.

A

`5 in_0 a^4 E_0`

B

`3in_0 a^4 E_0`

C

`4 in_0 a^4 E_0 `

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (ELECTRIC POTENTIAL & CAPACITANCE )|143 Videos

  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (CUTTENT ELECTRICITY )|108 Videos

  • ALTERNATING CURRENT

    AAKASH SERIES|Exercise EXERCISE - III|24 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LAW OF MOTION|128 Videos

Similar Questions

Explore conceptually related problems

Electric field in a region is given by vec( E) = - 4xhat(i) + 6yhat(j) . Then find the charge enclosed in the cube of side 1m oriented as shown in the diagram

The electric flux from a cube of edge l is phi . If an edge of the cube is made 2l and the charge enclosed is halved, its value will be

In a uniform electric field E if we consider an imaginary cubical closed surface of side a, then find the net flux through the cube ?

In the given electric field vecE=[(d+x)hati+E_(0)hatj]N//Ca hypothetical closed surface is taken as shown in figure. The total charge enclosed within the closed surface is Kepsilon_(0) . Then, find the value of k . ( a=2m , b=3m and c=2m )

An electric field given by vec(E) = 4hat(i) - (20 y^(2) + 2) hat(j) pierces a Gussian cube of side 1 m placed at origin such that its three sides represents x,y and z axes. The net charge enclosed within the cube is x xx 10^(-10)C , where is _____. (take in_(0) = 8.85 xx 10^(-12) N^(-1)m^(-2)C^(2) )

Conisder an electric field vecE=E_0hatx where E_0 is a constant . The flux through the shaded area (as shown in the figure) due to this field is

Electric field in a region of space is radially outward from origin and varies with distance 'r' from origin as E = kr. Find the charge enclosed in a sphere of radius 'a' centred at origin.

An electric field given vecE= 4.0hati -3.0(y^(2) + 2.0)j pierces a Gaussian cube of edge length 2.0 m and positioned as shown in the figure. (The magnitude E is in newtons per coulomb and the position z is in meters.) what is the electric flux through the (a) top face, (b) bottom face, (c) left face , (b) bottom facem (c) left face, and (d) back face ? (e) what is the net electric flux through the cube ?

A charge ( + Q) is placed at the origin O . Variation of electric potential V and magnitude of electric field E along the x-axis is plotted,as shown , in the form of two curves A and B ,then curve A represents the variation of

Electric field in a region is given by vec(E)=-4xhat(i)+6yhat(j) . The charge enclosed in the cube of side 1 m oriented as shown in the diagram is given by alpha in_(0) . Find the value of alpha .

AAKASH SERIES-APPENDICES ( REVISION EXERCISE )-REVISION EXERCISE (MAGNETISM AND MATTER )
  1. In a region, electric field depends on X-axis as E=E0 x^2. There is a ...

    Text Solution

    |

  2. Find the resultant magnetic moment for the following arrangement

    Text Solution

    |

  3. A bar magnet of magnetic moment M(1) is axically cut into two equal pa...

    Text Solution

    |

  4. An iron rod of length L and magnetic moment M is bent in the form of a...

    Text Solution

    |

  5. The force between two short magnets is 'F'. When the pole strengths of...

    Text Solution

    |

  6. The force between two poles is reduced to P newton, when their origina...

    Text Solution

    |

  7. Two identical spheres each of mass M and Radius R are separated by a d...

    Text Solution

    |

  8. The distance between a north pole of strength 6 xx 10^(-3)Am and a sou...

    Text Solution

    |

  9. Two north poles each of pole strength m and a south pole of pole stren...

    Text Solution

    |

  10. The magnetic induction at a distance 'd' from the magnetic pole of unk...

    Text Solution

    |

  11. The force between two short magnets is 'F'. When the pole strengths of...

    Text Solution

    |

  12. The poles of a horse-shoe magnet cach of pole strength 2A-m are at 4cm...

    Text Solution

    |

  13. Two poles of a horse shoe magnet each of pole strength 2 Am are 8 cm a...

    Text Solution

    |

  14. The length of a magnet of moment 5A m^2 is 14cm. The magnetic inductio...

    Text Solution

    |

  15. A magnet of length 10cm and magnetic moment 1 Am^2 is placed along the...

    Text Solution

    |

  16. Two identical magnetic poles each of strength 'm' are placed at the ve...

    Text Solution

    |

  17. The pole strength of a 12cm long bar magnet is 20Am. The magnetic indu...

    Text Solution

    |

  18. Two short bar magnets of magnetic moments m each are arranged at the o...

    Text Solution

    |

  19. The pole strength of a 12cm long bar magnet is 20Am. The magnetic indu...

    Text Solution

    |

  20. Two short magnets each of moment M are placed one over the other at ri...

    Text Solution

    |

  21. A short bar magnet of magnetic movement 5.25xx10^(-2)J T^(-1) is plac...

    Text Solution

    |