You happen to have a 5-V regulated power supply that you bought at Midwest Surplus Electronics in Fairborn, Ohio. Measuring the output voltage with your trusty voltmeter, you get an open-load reading of pretty close to 5 V. When you connect a 10-O wire-wound power resistor to the output, however, the voltage sags to 4.5 V. Use this information to find the effective output resistance of the power supply. What value of load resistance would produce the greatest amount of transferred power into this load? How much is this power? If the load was actually a homemade heating coil wound around a section of aluminum pipe 1.5" in diameter, how many turns of 18-gauge wire would be necessary, given that 18-AWG copper wire has a linear resistance of 6.385 mO per foot? Draw all circuits and explain your results.
Hint:
Assume that each turn of wire will have a length approximately equal to the pipe's circumference. Although the length of each turn will become slightly longer as more layers of wire are wound on the pipe, assume that this effect is negligible.