Home
Class 12
PHYSICS
A positively charged sphere of radius r(...

A positively charged sphere of radius `r_(0)` carries a volume charge density `rho_(E)` (Figure). A spherical cavity of radius `r_(0)//2` is then scooped out and left empty, as shown. What is the direction and magnitude of the electric field at point B?

A

`(17pr_(0))/ (54epsilon_(0))"left"`

B

`(17pr_(0))/ (54epsilon_(0))"right"`

C

`(pr_(0))/ (6epsilon_(0))"left"`

D

`(pr_(0))/ (6epsilon_(0))"right"`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS|Exercise Subjective type|7 Videos

  • ELECTRIC CURRENT AND CIRCUIT

    CENGAGE PHYSICS|Exercise Interger|8 Videos

  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise DPP 3.5|14 Videos

Similar Questions

Explore conceptually related problems

A positively charge sphere of radius r_0 carries a volume charge density rho . A spherical cavity of radius r_0//2 is then scooped out and left empty. C_1 is the center of the sphere and C_2 that of the cavity. What is the direction and magnitude of the electric field at point B?

An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electic field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

An infinitely long solid cylinder of radius R with uniform volume charge density rho has a spherical cavity of radius (R)/(2) with its centre on the axis of the cylinder as shown in the figure. The magnitude of the electric field at a point P which is at a distance 2R from the axis of the cylinder is given by (23rhoR)/(6Kepsilon_(0)) . What is the value of K ?

A solid of radius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius R/2 is made in the sphere as shown in the figure. Find the electric potential at the centre of the sphere.

A solid sphere ofradius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius (R)/(2) is made in the sphere as shown in the figure. It is given that (rhoR^(2))/(in_(0)) = 48 V . Find the electric potential at the centre C of the sphere:

Inside a uniformly charged infinitely long cylinder of radius 'R' and volume charge density 'rho' there is a spherical cavity of radius 'R//2'. A point 'P' is located at a dsintance 2 R from the axis of the cylinder as shown. Then the electric field strength at the point 'P' is

A solid sphere having uniform charge density rho and radius R is shown in figure. A spherical cavity ofradius (R)/(2) is made in it. What is the potential at point O?

Consider a sphere of radius R which carries a uniform charge density rho . If a sphere of radius R/2 is carved out of it,as shown, the ratio (vecE_(A))/(vecE_(B)) of magnetic of electric field vecE_(a) and vecE_(B) , respectively, at points A and B due to the remaining portion is:

CENGAGE PHYSICS-ELECTRIC FLUX AND GAUSS LAW-MCQ s
  1. In a region of space having a spherical symmetric distribution of cha...

    Text Solution

    |

  2. In a region of space the electric field in the x-direction and proport...

    Text Solution

    |

  3. Figure shown a closed surface which intersects a conducting sphere. If...

    Text Solution

    |

  4. figure shows a neutral metallic sphere with a point charge +Q placed n...

    Text Solution

    |

  5. A and V are semi - spherical surfaces of radius r(1)and r(2) (r(1) lt ...

    Text Solution

    |

  6. The electric field intensity at all points in space is given by vec(E)...

    Text Solution

    |

  7. The electric field intensity at all points in space is given by vec(E)...

    Text Solution

    |

  8. the electric field intensity at all points is space is given by vecE...

    Text Solution

    |

  9. Figure, shown above, shows three situations involving a charged partic...

    Text Solution

    |

  10. There are three concentric thin spheres of radius a,b,c (agtbgtc). The...

    Text Solution

    |

  11. the electric field inside a sphere which carries a charge density prop...

    Text Solution

    |

  12. consider two thin uniformly charged concentric shells of radii r and 2...

    Text Solution

    |

  13. An infinitely long wire is kept along z-axis from z= oo to z=oo, havin...

    Text Solution

    |

  14. two concentric conducting thin spherical shells A and B having radii r...

    Text Solution

    |

  15. two large conducting thin plates are placed parallel to each other. Th...

    Text Solution

    |

  16. A positively charged sphere of radius r(0) carries a volume charge den...

    Text Solution

    |

  17. A charge q is placed at the some distance along the axis of a uniforml...

    Text Solution

    |

  18. figure shows, in cross section, two solid spheres with uniformly distr...

    Text Solution

    |

  19. A very long uniformly charged cylinder (radius R) has a surface charge...

    Text Solution

    |

  20. Two infinite plane sheets A and B are shown in the figure the surface ...

    Text Solution

    |