The instant at which bulb is switched on, its power is maximum, then it decreases to a steady value.
This can be explained by the increasing resistance due to heating of the filament. (P = V*2*/R). My doubt in the above is in the steady value. Logically, I think as the resistance keeps increasing, the fractional change in it becomes small enough to say that resistance becomes constant, but how do I get to this value mathematically. I tried but could not solve it. My effort :
I thought of getting a function of power and time in which at t = infinity, the constant value of power could be obtained. But I am inable to arrive there.Is there a mistake in the approach or the calculation? Please help.