In the US, electric generators spin at a rate to create alternating current with

Question

In the US, electric generators spin at a rate to create alternating current with a frequency of 60 Hz (Note: the big generators don't really make 60 spins per second, instead they typically have 20 coils and make 3 spins per second.) Assuming the average speed of the electrons in a lighbulb at your house is 80 um/s, what is the rage of motion of the electrons as they go back and forth in the filament of the lightbulb? (Hints: this is a two part problem; first you must find the time for an electron to go back and forth once. Also, as the electron goes back and forth, it travels its full range every half cycle. )

Explanation / Answer

T = 1/f = 1/3 = 0.33333 s T/2 = 1.66667 s >>>> x = v t = (80 um/s)*1.6667 = 13.3 um

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