how different will wattage affect an electric bulb on an ac vs dc

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I have a somewhat vague understanding on wattage and voltages but for lamps, if you were given a lamp with 45w and put a 60w electric bulb in it, doesn’t it follow that it will just power 45w of the 60w and produce a weaker power, less heat, and a dimmer light; and if placed the other way around(60w lamp/45w bulb), the lamp will provide more than the bulb can handle and the possibility of a broken bulb is imminent?

But a little online search says that it’s the opposite. It’s confusing especially all I see online are from bulbs connected to an alternating current. Does it only apply to bulbs powered by AC or does it apply to DC as well like bulbs found in cars?

In: Engineering