Slide 31 of 31
Notes:
So the total energy produced in electrons by the Crab pulsar is 4e40J. Assuming 1 supernova every 100 years for the lifetime of the Galaxy (10 billion years), we find that 4e48J has been produced in a volume of 1e63m^3.
This gives an energy density of electrons produced by pulsars of 2.5e4 eV/m^.
Remember that the observed electron energy density is 4e3 eV/m^3, so electron emissions from pulsars are sufficient to produce observed levels, given the assumptions made.
