A 100-W (watt) light bulb has resistance R = 143 2 (ohms) when attached to household current, where voltage varies as V = Vo sin(27 ft), where Vo = 110 V, ƒ = 60 Hz. The power supplied to the bulb is P = J/s (joules per second) and the total energy expended over a time period [0, T] (in seconds) is T U = Р() dt Compute U if the bulb remains on for 7 hours. (Use decimal notation. Give your answer to one decimal place.) U = J

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A 100-W (watt) light bulb has resistance R = 143 2 (ohms) when attached to household current, where voltage varies as
V = Vo sin(27ft), where Vo
= 110 V, f = 60 Hz. The power supplied to the bulb is P = J/s (joules per second) and the
R
total energy expended over a time period [0, T] (in seconds) is
T
U =
P(t) dt
Compute U if the bulb remains on for 7 hours.
(Use decimal notation. Give your answer to one decimal place.)
U =
J
Transcribed Image Text:A 100-W (watt) light bulb has resistance R = 143 2 (ohms) when attached to household current, where voltage varies as V = Vo sin(27ft), where Vo = 110 V, f = 60 Hz. The power supplied to the bulb is P = J/s (joules per second) and the R total energy expended over a time period [0, T] (in seconds) is T U = P(t) dt Compute U if the bulb remains on for 7 hours. (Use decimal notation. Give your answer to one decimal place.) U = J
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