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12 March, 10:41

If the star radiates uniformly in all directions, what is its total average power output?

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  1. 12 March, 10:51
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    imagine a sphere of radius 7x10^12m centered on the star; the surface area of this sphere is 4 pi r^2

    thus, the total output of the star is distributed evenly over this sphere, so we have

    15.4W/m^2 = L / (4 pi r^2) where L is the total output (luminosity)

    L = 15.4 W/m^2 x 4 pi (7x10^12m) ^2 = 9.48 x10^27W
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