Two thin rods of length l carry equal charges Q uniformly distributed over their lengths. The rods are aligned, and their nearest ends are separated by a distance x (see the figure below). Calculate the mutual electric potential energy, that is, ignore the energy required to put the charges on the rods in the first place.

Two thin rods of length l carry equal charges Q uniformly distributed over their lengths. The rods are aligned, and their nearest ends are separated by a distance x (see the figure below). Calculate the mutual electric potential energy, that is, ignore the energy required to put the charges on the rods in the first place.

Similar questions

Can I have help with this problem?
(a) (1 point) Did the electron’s kinetic energy increase or decrease?(b) (1 point) Did the electron’s electric potential energy increase or decrease?(c) (3 points) What is the magnitude of the change in the electron’s electric potential energy?
Four objects with positive charges of +1.0 x 10-5 C are placed at the four vertices of a45° rhombus with sides of length 2.0 m.(a) Calculate the electric potential at the centre of the rhombus (this is located where thediagonals intersect). b) Calculate the electric potential energy a charge of +3.0 x 10-5 C would have if placed atthe centre of the rhombus.
A potential difference exists between the inner and outer surfaces of the membrane of a cell. The inner surface is negative relative to the outer surface. If 1.25 x 10^-20 J of work is required to eject a positive sodium ion (Na+) from the interior of the cell, what is the magnitude of the potential difference between the inner and outer surfaces of the cell?
Two charges, qi =-14.0 mC and q2 =8.4 mC are separated by distance r =6.6 m. What is the change in the electric potential energy of the system of these two charges if the separation changes to 0.7r? Provide your answer in kilojoules, with a precision of one place after the decimal.
An alpha particle, which has charge 3.204 ✕ 10−19 C, is moved from point A, where the electric potential is 2.30 ✕ 103 J/C, to point B, where the electric potential is 3.50 ✕ 103 J/C. Calculate the work in electron volts done by the electric field on the alpha particle.
Consider the two charges q1 = 7.50 µC and q2 = -2.50 µC as shown in the figure below. You may assume that the electric potential energy is zero when the two charges are infinitely far apart. (a) What is the electric potential energy of this system? (b) What is the electric potential at point A? (c) What is the change in the electric potential energy of the system if a third charge q3 = -5.00 µC is brought from infinity to point A? A d = 30.0 cm 42 d = 30.0 cm
An electron moving parallel to the x axis has an initial speed of 3.70 3 106 m/s at the origin. Its speed is reduced to 1.40 3 105 m/s at the point x 5 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. (b) Which point is at the higher potential?
You'll learn that the potential energy of two electric charges is inversely proportional to the distance between them. Two charges 30 nm apart have 1.0 J of potential energy. What is their potential energy if they are 22 nm apart? Express your answer with the appropriate units.
find magnitude of EF at (3.0x +5.1y - 2.5z) m. electric potential is (x.y.z)=5.5•x•(y^2)•z