Home
Class 12
PHYSICS
Two chargess +q and +2q , are held in pl...

Two chargess `+q` and `+2q` , are held in place on the x axis at the locations x`= -d` and `x= +d` respectively. A third charge, `+3q` , is released from rest on the y axis at `y = d`. (a) Find the electric potential at the initial location of the third charge. (b) Find the initial electric potential energy of the third charge. (c) What is the kinetic energy of the third charge when it has moved infinity far away from the other two charges ?

Text Solution

Verified by Experts

(a)`V= K (q)/(dsqrt(2)) + K(2q)/( d sqrt(2))= ( 3 Kq)/( d sqrt(2))`
`= ( 1)/( 4pi epsilon_(0)) ( 3q)/( dsqrt(2))`
(b)` U = ( 3q) V`
`= (1)/( 4piepsilon_(0)) ( 3q)/( d sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-A) Objective Type Questions (Only one answer)|47 Videos
  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE|Exercise SECTION-B (OBJECTIVE TYPE QUESTIONS (ONLY ONE ANSWER) )|1 Videos
  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D|13 Videos
  • ELECTROMAGNETIC WAVES

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D Assertion-Reason Type Questions|25 Videos
  • GRAVITATION

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D (ASSERTION-REASON TYPE QUESTIONS)|16 Videos

Similar Questions

Explore conceptually related problems

Charges 4Q, q and Q and placed along x-axis at positions x=0,x=t//2 and x=1 , respectively. Find the value of q so that force on charge Q is zero

A two point charges 4q and -q are fixed on the x - axis x=-d/2 and x = d/2 , respectively. If a third point charge 'q' is taken from the origin to x = d along the semicircle as shown in the figure, the energy of the charge will

Two particles (free to move) with charges +q and +4q are a distance L apart. A third charge is placed so that the entire system is in equilibrium. (a) Find the location, magnitude and sign of the third charge. (b) Show that the equilibrium is unstable.

Two point charges q each are fixed at (a,0) and (-a,0). A third charge Q is placed at origin. Electrons potential energy of the system will

A charge Q is uniformly on a ring of radius R . Find the electric potential on the axis of ring at distance x from the centre of the ring. Sketch variation of potential with respect to x .

Three point charges +q, +2q and Q are placed at the three vertices of an equilateral triangle. Find the value of charge Q (in terms of q), so that electric potential energy of the system is zero.

A charge +q is located at the origin, while an identical charge is located on the x axis at x = +0.50 m. A third charge of +2 q is located on the x axis at such a place that the net electrostatic force on the charge at the origin doubles, its direction remaining unchanged. Where should the third charge be located ?

Two points charges q and -2q are placed some distance d apart. If the electric field at the location of q is E, that at the location of -2q is

Two force point charges +q and +4q are a distance l apart. A third charge q_(1) is so placed that the entire system is in equilibrium. Find the location, magnitude and sign of the third charge.

Two equal negative charges are fixed at points and on y-axis. A positive charge Q is released from rest at the point on the x-axis. The charge Q will:

AAKASH INSTITUTE-ELECTROSTATIC POTENTIAL AND CAPACITANCE -TRY YOURSELF
  1. What if point P in figure happens to be located to the left of the neg...

    Text Solution

    |

  2. A charge q is moved from A to B in the region of a fixed ideal dipole ...

    Text Solution

    |

  3. Two chargess +q and +2q , are held in place on the x axis at the locat...

    Text Solution

    |

  4. Two charges -10C and + 10 C are placed 10 cm apart. Potential at the c...

    Text Solution

    |

  5. Calculate the earth's potential. Assume earth has a surface charge den...

    Text Solution

    |

  6. Consider a hollow spherical conductor that has a potential of 300 volt...

    Text Solution

    |

  7. Three concentric spherical metallic shells A, B and C of radii a, b an...

    Text Solution

    |

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

    Text Solution

    |

  9. Two charges q(1) = 3.0 mu C and q(2) = - 4.0 mu C initiallly are separ...

    Text Solution

    |

  10. Arrange the dipoles in descending order of their potential energy.

    Text Solution

    |

  11. A dipole is placed in constant electric field E as shown . If it is re...

    Text Solution

    |

  12. An electric dipole when placed in uniform electric field has zero pote...

    Text Solution

    |

  13. A 1mu C charge is uniformly distributed on a spherical shell given by ...

    Text Solution

    |

  14. Two charged metallic spheres of radiir(1) and r(2) are touched and sep...

    Text Solution

    |

  15. Just outside a sharp point on a conductor we will have a larger "" th...

    Text Solution

    |

  16. Two insulated charges conducting spheres of radii 20 cm and 15 cm res...

    Text Solution

    |

  17. In the above question, what is the electric field between the plates ...

    Text Solution

    |

  18. A parallel plate capacitor is charged. If the plates are pulled apart

    Text Solution

    |

  19. Consider two capacitors : C(1) = 10 mu C and C(2) = 40 mu F. What is ...

    Text Solution

    |

  20. In the arrangement C(1) = 10 mu F, C(2) = 10mu F and C(3) = 20 mu F ....

    Text Solution

    |