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Power and Energy Energy Power
The ability to do work. Symbol: E Unit: Joule (J) The amount of energy used in a given amount of time. Symbol: P Unit: Watt (W)
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Electrical Power P = Power in Watts E = Energy in Joules
Δt = change in time in Seconds One watt is equal to one joule per second.
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Formulas E P t
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Another Power Formula P = IV P I V
Power can also be expressed as a function of potential difference and current intensity. P = IV P I V
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Calculating Cost The cost in Quebec is approximately $0.08/kWh.
A kWh is a measure of energy. P = Power in Kilowatts (kW) t = time in hours (h) E = Energy in Kilowatt hours (kWh) How many Joules are in 1 kilowatt hour?
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So which units do I use? P Watts (W) t Seconds (s) E = Joules (J)
P Kilowatts (kW) t Hours (h) E Kilowatt hours (kWh)
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Practice Problem A toaster uses 10 A of current on a 120 V line.
What is the power rating of the toaster? How much energy does the toaster use if it takes 3.0 minutes to make toast?
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What is the cost of operating this blender (500 watts) for 12minutes at a cost of $0.0827/kWh (taxes included)
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The resistance of a lamp is 50Ω
The resistance of a lamp is 50Ω. The lamp is plugged into a 100V power supply. How much energy is used in 2.0 hours? The resistance of an appliance is 2.0 Ω. 400kJ of energy is used at a current of 10A. How much time was the appliance plugged in? J = 1.4x106 J 2000 seconds = 33min
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Homework Workbook Pages 79-82
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