Pumping the Power
An electric power source produces an AC voltage v = V_0\sin(\omega t), where V_0 is the peak voltage. A filament light bulb resistor R is placed across the source. Can you find a formula for the power (which changes over time) produced in the bulb? What is the average power produced in terms of V_0 and R?
If you would like to keep using the power formulae you learned for DC electricity, what would be a good representative voltage for this AC source, in terms of V_0?
Can you draw a graph of the light produced by the bulb over time if the bulb has been on for a long time?
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