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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.

बेरीज
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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

Four point charges Q, q, Q and q are placed at the corners of a square of side 'a' as shown in the figure.

Find the

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?


The work done in bringing a unit positive charge from infinite distance to a point at distance x from a positive charge Q is W. Then the potential at that point is ______.


  • 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:


In the circuit shown in figure initially, key K1 is closed and key K2 is open. Then K1 is opened and K2 is closed (order is important). [Take Q1′ and Q2′ as charges on C1 and C2 and V1 and V2 as voltage respectively.]

Then

  1. charge on C1 gets redistributed such that V1 = V2
  2. charge on C1 gets redistributed such that Q1′ = Q2
  3. charge on C1 gets redistributed such that C1V1 + C2V2 = C1E
  4. charge on C1 gets redistributed such that Q1′ + Q2′ = Q

Calculate potential energy of a point charge – q placed along the axis due to a charge +Q uniformly distributed along a ring of radius R. Sketch P.E. as a function of axial distance z from the centre of the ring. Looking at graph, can you see what would happen if – q is displaced slightly from the centre of the ring (along the axis)?


  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.

State the significance of the negative value of electrostatic potential energy of a system of charges.

Three charges are placed at the corners of an equilateral triangle ABC of side 2.0 m as shown in the figure. Calculate the electric potential energy of the system of three charges.


Charges (+q) and (–q) are placed at points A and B respectively which are a distance 2L apart. C is the midpoint between A and B. What is the work done in moving a charge +Q along the semicircle CRD?

 


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