If two stars have the exact same surface temperature, how does the larger star's luminosity compare?

Answer

It is always more luminous due to greater surface area.

If surface temperature is held constant, luminosity scales directly with the available surface area for radiating energy; a physically larger star has exponentially more surface area.

If two stars have the exact same surface temperature, how does the larger star's luminosity compare?

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Why Would The Size Of A Star Affect Its Luminosity? - Physics Frontier

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