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 0.30 s and delivers 7.8 10^-6 J of energy perpendicularly to the 98-m2 surface area of the telescope's detector. The magnetar is thought to be 5.54 10^20 m (about 59000 light-years) from earth, and to have a radius of 9.3 10^3 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. (Assume a year is 365.25 days.)

Explanation / Answer

Intensity at the detector Id = 7.8E-6/(98*0.30) = 3.52588E-7 w/m^2
Free-space impedance Z0 = sqrt(

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