Electricity and Magnetism · Problem 7.44

ALTERNATING-CURRENT CIRCUITS — Edward Purcell & David Morin

Physics — E&M · magnetic-energy-galaxy

Problem

Magnetic energy in the galaxy * A magnetic field exists in most of the interstellar space in our galaxy. There is evidence that its strength in most regions is between 10−610^{-6} and 10−510^{-5} gauss. Adopting 3⋅10−63 \cdot 10^{-6} gauss as a typical value, find, in order of magnitude, the total energy stored in the magnetic field of the galaxy. For this purpose you may assume the galaxy is a disk roughly 102110^{21} m in diameter and 101910^{19} m thick. To see whether the magnetic energy amounts to much, on that scale, you might consider the fact that all the stars in the galaxy are radiating about 103710^{37} joules/second. How many years of starlight is the magnetic energy worth?

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