The intensity of the sun’s light per unit area is much greater. It does not look that way because our eyes adapt over time. But turn on a lightbulb during a sunny day, and you’ll see how the illumination of the room changes very little, and the bulb itself looks quite weak and doesn’t blind you. The sun delivers around 1 kW per square meter during summer. A typical lightbulb or set of them in a room have the power of 0.1-0.2 kW for the whole room of 10 or so m². Some of the radiation is trapped by glass, but that is the same for sunlight going window glass.
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