Power radiated per electron
P = 2.4 x 10 E B J/s = 2.4 x 10 x 2.5 x 10 x 10 J/s = 6 x 10 J/s
Observed flux = 1.6 x 10 J m sec keV
Distance = 1kpc = 3 x 10 m
Total luminosity, L = 1.6 x 10 x 4pd J/s = 1.6 x 10 x 10 x 10 J/s = 1.6 x 10 J/s
Notes:
The synchrotron power radiated per electron is 2.4e12 E^2 B^2 J/s… and the total luminosity is calculated by multiplying the observed flux by 4.pi.distance^2, ie. we are assuming a spherical source.