Young Joule had recently bought new electric kettle. It is very powerful, boiling water very quickly. The only drawback is that in the XIX century house where the boy lives, electric lines are not quite suitable for such load - hence pretty often it happens that when the kettle is turned on, automatic fuses break power supply to the apartment before the water is boiling. Joule understands they have thermal element inside and if it overheats sooner than the water is ready... Well, that's the problem.
He thought that the kettle, as a pretty simple heating device, will consume less power if the voltage on it is decreased. He decided to plug it
in series with simple old-style incandescent bulb (which is, physically, also simple heating device, just much less powerful - it utilizes the
fact that the tungsten thread heated to over 3000 degrees glows with yellow-to-white light).
So if he connect them in series, wihh this idea work as he wants? Will kettle boil? Will lamp glow?
Input variables are Pk and Pb for the nominal power consumption of the kettle and bulb correspondingly. Both are expressed in Watts
(typical values could be 2000 and 100).
Create the formula which tells how many percents of nominal power the kettle will yield in such conditions.
Example is not given to avoid spoiling the principle, but you'll see some expected values if your results are incorrect.