A 100-watt (W) light bulb has resistance R = 144 ohms () when attached to household current,

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A 100-watt (W) light bulb has resistance R = 144 ohms (Ω) when attached to household current, where the voltage varies as V = V0 sin(2π ƒ t) (V0 = 110 V, ƒ = 60 Hz). The energy (in joules) expended by the bulb over a period of T seconds is

= 5 U = P(t) dt

where P = V2/R (J/s) is the power. Compute U if the bulb remains on for 5 hours.

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Related Book For  answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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