Filament lamp?

There is a significant current surge when you first switch on a filament lamp .
what's the theoretical model of this phenomenon ?
I assume that there is a huge different between ac & dc in this case .
some one told me that i should get help from faradic , or this formula : L( di / dt )
Please help me out !
I'm so confused

Do a search on "Temperature coefficient of resistance"
The resistance of a tungsten filament increases with temperature.

Before switching the lamp on the filament is cold and has a low resistance. The initial current will therefore be relatively high.

(This is why a domestic light bulb usually fails at switch-on.)

The filament heats up rapidly (a few tens of milliseconds), the resistance increases and the current diminishes.

It makes no difference whether the filament is supplied with d.c. or a.c.

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