Consider an electron gyrating in the magnetic field associated with a sunspot, which has a magnetic…

Consider an electron gyrating in the magnetic field associated with a sunspot, which has a magnetic field strength of 0.25 T. The typical temperature of a sunspot is 3500 K. The equipartition equation for velocity v, temperature T, and mass m of a particle is: 3kBT/m kB is the Boltzmann constant (1.38 x 10^-23 J/K). a) The mass of the Sun is approximately 2 x 10^30 kg. Use this information and the information given above to compute the acceleration g due to gravity at the surface of the Sun. b) Compute the drift velocity v_d due to gravity for a proton and an electron located within a sunspot. Assuming a typical mass density of the Sun #x27;s photosphere of 10^-3 kg/m^3, compute the number density of protons and electrons in the photosphere (where sunspots reside), assuming that the Sun is comprised of pure ionized hydrogen. c) Calculate the total current density J (accounting for the contributions of both electrons and protons within sunspots). You may assume that you can treat the ensemble of particles as a fully-ionized hydrogen gas, where ne and np are the same for the electrons and the protons.

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