मराठी

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.

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प्रश्न

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.

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उत्तर

The electric potential at a point distant r due to the field created by a positive charge Q is given by

\[v = \frac{1}{4\pi \epsilon_0}\frac{q}{r}\]

Since rQ > rP, we have:
 VQ < VP
∴ The potential energy difference VP − VQ is positive between Q and P.

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2013-2014 (March) Foreign Set 3

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.


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


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
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  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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The symbol, SI unit, and nature of electrostatic potential energy are respectively:


The electrostatic potential energy of a charge configuration is well-defined because the electrostatic force is a conservative force, which means:


While assembling a system of charges, the work done in bringing the first charge \[q_1\] from infinity to its Position 1 is:


The work done in bringing charge \[q_2\] from infinity to Position 2, in the electric potential \[V_1\] produced by the fixed charge \[q_1\] at separation \[r_{12}\], is:


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