A gamma-ray telescope intercepts a pulse of gamma radiation from a magnetar, a t

Question

A gamma-ray telescope intercepts a pulse of gamma radiation from a magnetar, a type of star with a spectacularly large magnetic field. The pulse lasts 0.25 s and delivers 8.30 10-6 J of energy perpendicularly to the 70-m2 surface area of the telescope's detector. The magnetar is thought to be 4.50 1020 m (about 50 000 light-years) from earth, and to have a radius of 9.10 103 m. Find the magnitude of the rms magnetic field of the gamma-ray pulse at the surface of the magnetar, assuming that the pulse radiates uniformly outward in all directions.

Explanation / Answer

Intensity at the detector Id = 8.3E-6/(70*0.25) = 4.743E-7 w/m^2
Free-space impedance Z0 = sqrt(

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