English

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?

Advertisements
Advertisements

Question

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?

 

Numerical
Advertisements

Solution

Vc = 0,

VD = `1/(4piepsi_0)[q/(3L) - q/L] = (-q)/(6piepsi_0L)`

W = Q[VD - Vc] = `(-Qq)/(6piepsi_0L)`

shaalaa.com
  Is there an error in this question or solution?
2023-2024 (March) Board Sample Paper

RELATED QUESTIONS

If one of the two electrons of a Hmolecule is removed, we get a hydrogen molecular ion `"H"_2^+`. In the ground state of an `"H"_2^+`, the two protons are separated by roughly 1.5 Å, and the electron is roughly 1 Å from each proton. Determine the potential energy of the system. Specify your choice of zero potential energy.


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


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 ________.


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.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×