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A 160 W lightbulb is plugged into a standard 120 V outlet. (a) How much does it

ID: 1284946 • Letter: A

Question

A 160 W lightbulb is plugged into a standard 120 V outlet. (a) How much does it cost in dollars per 31-day month to leave the light turned on continuously? Assume electrical energy costs US$ 0.08/kW h. (b) What is the resistance of the bulb? (c) What is the current in the bulb?

(a) Number Units A 160 W lightbulb is plugged into a standard 120 V outlet. (a) How much does it cost in dollars per 31-day month to leave the light turned on continuously? Assume electrical energy costs US$ 0.08/kW h. (b) What is the resistance of the bulb? (c) What is the current in the bulb?

Explanation / Answer

a) E = P*t

= 160*31*24*60*60

= 4.285*10^8 J

= 4.285*10^8/3.6*10^6

= 119 kWh

cost = 119*0.08

= $ 9.52

b) P = V^2/R

==> R = V^2/P

= 120^2/160

= 90 ohms

C) I = P/V

= 160/120

= 1.333 A

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