Home
Class 12
PHYSICS
The system of four point charges are arr...

The system of four point charges are arranged to be in equilibrium (see figure) under only mutual elestrostatic forces. Find magnitude of `Q` (in `muC`). (Neglect gravity)

Text Solution

Verified by Experts

The correct Answer is:
1

`F_(2)-2F_(1)cos30^(@)=0`
`implies(K(q)(Q))/(R^(2))=(2(Kq^(2))/((sqrt(3)R)^(2))) cos 30^(@)`
`Q=q/(sqrt(3))=(sqrt(3))/(sqrt(3))muC=1muC`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PART - II PHYSICS|106 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Advanced Level Problems|13 Videos
  • TEST SERIES

    RESONANCE ENGLISH|Exercise PHYSICS|130 Videos

Similar Questions

Explore conceptually related problems

Three charged particle sare in equilibrium under their electrostatic forces only. Then

Four charges are arranged on y axis as shown in figure. Then the electric field at point P is proportional to:

An object is in equilibrium under four concurrent forces in the direction shown in figure. Find the magnitudes of F_(1) and F_(2)

An object is in equilibrium under four concurrent forces in the direction shown in figure. Find the magnitudes of F_(1) and F_(2)

Four equal point charges, each of magnitude +Q , are to be placed in equilibrium at the corners of a square. What should be the magnitude and sign of the point charge that should be placed at the center of the square to do this job?

A point charge q is placed at a distance r from a very long charged thread of unoform linear charge density lambda . Find out total electric force experienced by the line charge due to the point charge. (Neglect gravity).

Four charges are arranged at the corners of a square ABCD as shown in the figure. The force on the charge kept at the ccentre O is

Three point charges q are placed at three vertices of an equilateral triangle of side a. Find magnitude of electric force on any charge due to the other two.

Six point charges are arrange at the vertices of a regular hexagon of side length a (shown in figure). Find the magnitude of electric field at the centre of regular hexagon.

Four charges are arranged at the corners of a square ABCD as shown in the figure. The force on the charge kept at the centre O will be:

RESONANCE ENGLISH-TEST PAPERS-PHYSICS
  1. The locus of the points (in the xy-plane) where the electric field due...

    Text Solution

    |

  2. Two equipotential spherical surface having potential 20V and 0V are as...

    Text Solution

    |

  3. Consider the four field patterns shown. Assuming there are no charge i...

    Text Solution

    |

  4. Flux (ph) as a function of distance (r) from centre of uniformly charg...

    Text Solution

    |

  5. A uniform electric field in positive x-direction on exists in space. A...

    Text Solution

    |

  6. A planet is made of two materials of density rho(1) and rho(2) as show...

    Text Solution

    |

  7. The potential energy function of a particle due to some gravitational ...

    Text Solution

    |

  8. A binary star has a time period 3 years (time period of earth is one y...

    Text Solution

    |

  9. Two planets A and B are revolving in circular orbits around a fixed su...

    Text Solution

    |

  10. An earth satellite is revolving in a circular orbit of radius a with v...

    Text Solution

    |

  11. The electric field in a region is radially outwards with magnitude E=a...

    Text Solution

    |

  12. A point charge Q is kept at point 'A' the flux through the inclined su...

    Text Solution

    |

  13. A sphere of radius R has a variable charge density rho(r)=rho(0)r^(n-1...

    Text Solution

    |

  14. If the electric field in a region is given as E=y^(2)hati+2xyhatj and ...

    Text Solution

    |

  15. The system of four point charges are arranged to be in equilibrium (se...

    Text Solution

    |

  16. A small block A of mass m=5kg and charge 2xx10^(-7)C is kept on a fixe...

    Text Solution

    |

  17. Two plane parallel conducting plates 1.5xx10^(-2)m apart are held hori...

    Text Solution

    |

  18. A small cork block of mass m=1kg having charge q=-1C placed on a rough...

    Text Solution

    |

  19. A 1kg ball is suspended in a uniform electric field with the help of a...

    Text Solution

    |

  20. Binary stars rotate under mutual gravitational force at separation 2(G...

    Text Solution

    |