Example: Problem 26.6According to the alpha-particle model of the nucleus some nuclei consist of a regular geometric arrangement of alpha particles. For instance, the nucleus of 12C consists of three alpha particles on an equilateral triangle (see Figure 26.2). Assuming that the distance between pairs of alpha particles is 3 x 10-15 m, what is the electric energy of this arrangement of alpha particles ? Treat the alpha particles as pointlike.
26.2 Energy of a System of Conductors
Example: Problem 26.27In symmetric fission, the nucleus of uranium (238U) splits into two nuclei of palladium (119Pd). The uranium nucleus is spherical with a radius of 7.4 x 10-15 m. Assume that the two palladium nuclei adopt a spherical shape immediately after fission; at this instant, the configuration is as shown in Figure 26.6. The size of the nuclei in Figure 26.6 can be calculated from the size of the uranium nucleus because nuclear material maintains a constant density.
c) Calculate the total electric energy a long time after fission when the two palladium nuclei have moved apart by a very large distance.
d) Ultimately, how much electric energy is released into other forms of energy in the complete fission process ?
e) If 1 kg of uranium undergoes fission, how much electric energy is released ?
a) The electric energy of the uranium nucleus before fission can be calculated using the equations derived in Example 26.4 in Ohanian: