Advanced physics

For Jupiter's magnetosphere (RJupiter = 67,000 km, average orbital distance 5.2 AU): (a) Calculate the power input by proton flow in the solar wind. Assume Jupiter's magnetosphere can be modeled as having a cross-section 100 times the radius of the planet. (b) Calculate the position of the magnetopause boundary, along the Jupiter-Sun axis. Jupiter's magnetic field can be approximated by a dipole with equatorial surface field strength 4.2 Gauss