हिंदी

Four Point Charges Q, Q, Q and Q Are Placed at the Corners of a Square of Side 'A' as Shown in the Figure.

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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.

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उत्तर

1) `F_"net" = "KQ"^2/(2a^2) + (sqrt2KQq)/a^2`

2) Potential energy of the system = `(4KQq)/a + "KQ"^2/(sqrt2a) + (Kq^2)/(sqrt2a)`

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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.


Figure shows the field lines due to a positive point charge. Give the sign of potential energy difference of a small negative charge between the points Q and P.


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


1 volt is equivalent to ______.


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 ______.


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:


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

  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.

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