Answer to Question #55061 in Astronomy | Astrophysics for Lia

Question

The synchrotron power P radiated by an ultrarelativistic (1) electron is extracted from its kinetic energy E mec2. The synchrotron lifetime of such an electron is:

Estimate the synchrotron lifetime of electrons responsible for the 1 GHz radiation from our Galaxy. You may make the approximation that Galactic synchrotron radiation at frequency v = 1 GHz is produced primarily by electrons whose critical frequency in the B = 5 × 10−6 G magnetic field of our Galaxy is vc = 1 GHz.