Electric Potential Energy

A point charge q_1 is held stationary at the origin. A second charge q_2 is placed at a point a, and the electric potential energy of the pair of charges is -6.4 xx 10^-8 J . When the second charge is moved to point b, the electric force on the charge does 4.2 xx 10^-8 J of work. What is the electric potential energy of the pair of charges when the second charge is at point b?

Is it possible to have an arrangement of two point charges separated by finite distances such that the electric potential energy of the arrangement is the same as if the two charges were infinitely far apart? What if there are three charges?

A uniform electric field E_0 is directed along positive y-driection. Find the change in electric potential energy of a positive test charge q_0 when it is displaced in this field from y_i=a to y_f=2a along the y-axis.

A uniform electric field E_0 is directed along positive y-driection. Find the change in electric potential energy of a positive test charge q_0 when it is displaced in this field from y_i=a to y_f=2a along the y-axis.

Two neutral particles are kept 1m apart. Suppose by some mechanism some charge is transferred from one particle to the other and the electric potential energy lost is completely converted into a photon. Calculate the longest and the next smaller wavelength of the photon possible. h=6.63xx10^(-34)Js .

Two chargess +q and +2q , are held in place on the x axis at the locations x = -d and x= +d respectively. A third charge, +3q , is released from rest on the y axis at y = d . (a) Find the electric potential at the initial location of the third charge. (b) Find the initial electric potential energy of the third charge. (c) What is the kinetic energy of the third charge when it has moved infinity far away from the other two charges ?

Figure shows a battery B having emf resistor having resistance R in a closed circuit. (1) Show arrow for emf E of the battery B. (2) Arrange points a,b,c in decreasing order of magnitude of current (3) Arrange points a,b,c in decreasing order of electric potential . (4) Arrane points a,b. In increasing order of electric potential energy of charge carriers.

Two conducting spheres of radius R and 3R carry charges Q and -2 Q . Between these spheres a neutral conducting sphere of radius 2R is connected. The separation between the sphere is considerably large Charge flows through conducting wire due to potential difference. The decrease in electric potential energy of sphere of radius R is :

Two point charges 2q and 8q are placed at a distance r apart. Where should a third charge -q be placed between them so that the electrical potential energy of the system is a minimum