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Find Out the Amount of the Work Done to Separate the Charges at Infinite Distance. - Physics

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प्रश्न

Find out the amount of the work done to separate the charges at infinite distance.

योग
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उत्तर

The amount work done to separate the charges at infinity will be equal to potential energy.

Potential energy of the system U = `U_(q.2q) + U_(q-4q) + U_(2q-4q)`

`U = (kq(2q))/l + (kq(-4q))/l + (k2q(-4q))/l = (-10kq^2)/l`

Thus work done to seperate them to infinity W = U = `(-10kq^2)/l`

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Potential Energy of a System of Charges
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2017-2018 (March) Delhi Set 1

संबंधित प्रश्न

A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.


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1) resultant electric force on a charge Q, and

2) potential energy of this system.


A point charge Q is placed at point O as shown in the figure. The potential difference VA – VB positive. Is the charge Q negative or positive?


If a charge q0 is there in an electric field caused by several point charges qi. The potential energy of q0 is given by ________.


Consider a uniform electric field in the z-direction. The potential is a constant ______.


  • Assertion (A): An electron has a high potential energy when it is at a location associated with a more negative value of potential, and a low potential energy when at a location associated with a more positive potential.
  • Reason (R): Electrons move from a region of higher potential to region of lower potential.

Select the most appropriate answer from the options given below:


  1. In a quark model of elementary particles, a neutron is made of one up quarks [charge (2/3) e] and two down quarks [charges –(1/3) e]. Assume that they have a triangle configuration with side length of the order of 10–15 m. Calculate electrostatic potential energy of neutron and compare it with its mass 939 MeV.
  2. Repeat above exercise for a proton which is made of two up and one down quark.

  • Assertion (A): Work done in moving a charge around a closed path, in an electric field is always zero.
  • Reason (R): Electrostatic force is a conservative force.

Justify your answers for each case.

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