Concept explainers
Amperage, Wattage, and Voltage Amperage is a measure of the amount of electricity that is moving through a circuit, whereas voltage is a measure of the force pushing the electricity. The wattage W consumed by an electrical device can be determined by calculating the product of the amperage I and voltage V. (Source: Wilcox. G. and C. Hesselberth, Electricity for Engineering Technology, Allyn & Bacon.)
(a) A household circuit has voltage
V = 163 sin 120πt
when an incandescent light bulb is turned on with amperage
I = 1.23 sin 120πt.
Graph the wattage W — VI consumed by the light bulb in the window [0.0.05] by [ -50. 300].
(b) Determine the maximum and minimum wattages used by the light bulb.
(c) Use identities to determine values for a. c. and w so that W — a cos(wt) + c.
(d) Check by graphing both expressions for W on the same coordinate axes.
(e) Use the graph to estimate the average wattage used by the light. For how many watts (to the nearest integer) would this incandescent light bulb be rated?
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Trigonometry (11th Edition)
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