Home
Class 12
PHYSICS
Three charges 0.1 coulomb each are plac...

Three charges ` 0.1` coulomb each are placed on the corners of an equilateral triangle of side `1 m`. If the energy is supplied to this system at the rate of ` 1 kW` how much time would be required to move one to the charges on to the midpoint of the line joining the two ?

Text Solution

Verified by Experts

The correct Answer is:
50 h.

Initial electrostatic energy of system of three charges is

`U_i = 3 (1)/(4 pi epsilon_0) (q^2)/(r) = 3 xx 9 xx 10^9 xx (0.1)^2/(1) = 2.7 xx 10^8 J`
When charge A is moved to new position A', which is midpoint of side BC, then final electrotatic energy is
`U_f = (1)/(4 pi epsilon_0) ((q_1 q_2)/(r_(12))+(q_2 q_3)/(r_(23))+ (q_2 q_1)/(r_(13)))`
=`(1)/(4 pi epsilon_0) [(q^2)/((A' B)) + (q^2)/((B C)) + (q^2)/((A'C))]`
But `A' B = A' C = r // 2 = 0.5 m`. Therefore,
`U_f = 9 xx 10^9 [((0.1)^2)/(0.5) + (0.1)^2/(1) + (0.1)^2/(0.5)] = 4.5 xx 10^8 J`
Work done `W = U_f - U _i`
=`4.5 xx 10^8 - 2.7 xx 10^8 = 1.8 xx 10^8 J`
As `W = P t`
or `t = (W)/P =(1.8 xx 10^8)/(10^3)`
=`1.8 xx 10^5 s = (1.8 xx 10^5)/(3600) h = 50 h`.
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise Single Correct|56 Videos
  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise Multiple Correct|10 Videos
  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise Exercise 3.3|9 Videos
  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS|Exercise MCQ s|38 Videos
  • ELECTRICAL MEASURING INSTRUMENTS

    CENGAGE PHYSICS|Exercise M.C.Q|2 Videos

Similar Questions

Explore conceptually related problems

Three charges 0.1 coulomb each are placed on the corners of an equilateral triangle of side 1 m . If the energy is supplied to this system at the rate of 1 kW how much time would be required to move one ot the charges on to the midpoint of the line joining ther two ?

Three charges each 20muC are placed at the corners of an equilateral triangle of side 0.4m The potential energy of the system is

Three point charges 3nC, 6nC and 6nC are placed at the corners of an equilateral triangle of side 0.1 m. The potential energy of the system is

At the corners of an equilateral tringle of side a =1 m, three point charge are placed (each of 0.1 C). If this system is supplied energy at the rate of 1 kW, then calculate the time required to move one of charges to the mid-point of the line joining the other two.

Three point charges 2muC, 3muC and 5muC are placed at the corners of an equilateral triangle of side 200 cm. Calculate the potentail energy of the system.

Three masses 3,4 and 5 kg are located at the corners of an equilateral triangle of side 1m. Locate to centre of mass of the system.

Three particles each of mass m are palced at the corners of an equilateral triangle of side b . The gravitational potential energy of the system of particle is

CENGAGE PHYSICS-ELECTRIC POTENTIAL-Subjective
  1. Two identical thin ring, each of radius R meters, are coaxially placed...

    Text Solution

    |

  2. Three conducting spherical shells have radii (a, b, and c) such that a...

    Text Solution

    |

  3. (Figure 3.114) shows three concentric spherical conductors A, B, and C...

    Text Solution

    |

  4. Two concentric shells of radii R and 2 R are shown in (Fig. 3.115). In...

    Text Solution

    |

  5. Three charges each of value q are placed at the corners of an equilate...

    Text Solution

    |

  6. A small ball of mass 2 xx 10^-3 kg, having a charge 1 mu C, is suspend...

    Text Solution

    |

  7. Two charges -2Q abd Q are located at the points with coordinates (-3a,...

    Text Solution

    |

  8. A point charge q is located at the centre O of a spherical uncharged c...

    Text Solution

    |

  9. Four point + 8 mu C, -1 mu C, -1 mu C, and + 8 mu C are fixed at the p...

    Text Solution

    |

  10. Charges +q and -q are located at the corners of a cube of side as show...

    Text Solution

    |

  11. Two uniformly charged large plane sheets S1 and S2 having charge densi...

    Text Solution

    |

  12. (Figure 3.118) shows two dipole moments parallel to each other and pla...

    Text Solution

    |

  13. Two dipoles p1 and p2 are placed along the same axis at a distance x a...

    Text Solution

    |

  14. A short dipole is placed along the x - axis at x = x (Fig. 3.120). ....

    Text Solution

    |

  15. For the electrostatic charge system as shown in , find . a. the ne...

    Text Solution

    |

  16. Four charge particles each having charge Q=1 C are fixed at the corner...

    Text Solution

    |

  17. Three identical dipoles with charges q and -q, and separation A betwee...

    Text Solution

    |

  18. A radioactive source, in the form of a metallic sphere of radius 10^(-...

    Text Solution

    |

  19. Three charges 0.1 coulomb each are placed on the corners of an equila...

    Text Solution

    |

  20. When a small uncharged conducting ball of radius a = 1 cm and mass m =...

    Text Solution

    |