Advertisements
Advertisements
Question
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.
Advertisements
Solution

1) `F_"net" = "KQ"^2/(2a^2) + (sqrt2KQq)/a^2`
2) Potential energy of the system = `(4KQq)/a + "KQ"^2/(sqrt2a) + (Kq^2)/(sqrt2a)`
APPEARS IN
RELATED QUESTIONS
If one of the two electrons of a H2 molecule 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.
A point charge Q is placed at point 'O' as shown in the figure. Is the potential at point A, i.e. VA, greater, smaller or equal to potential, VB, at point B, when Q is (i) positive, and (ii) negative charge?
If a charge q0 is there in an electric field caused by several point charges qi. The potential energy of q0 is given by ________.
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)?
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?
The symbol, SI unit, and nature of electrostatic potential energy are respectively:
The total electrostatic potential energy of a three-charge system is:
For a system of n charges, the total number of unique charge pairs whose potential energies must be summed is:
For n charges \[q_1, q_2, \ldots, q_n\] at positions \[r_1, r_2, \ldots, r_n\], where \[r_{ij}\] is the distance between charge i and charge j, the total electrostatic potential energy of the system is:
Four charges +q, -q, +q, -q are arranged alternately at corners A, B, C, D of a square of side d. With +q already at A, the work done in bringing -q from infinity to corner B is:
