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Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
18
Electric Currents
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18-2 and 18-3: Electric Current, Resistance, Ohm's Law
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18-4: Resistivity
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18-5 and 18-6: Electric Power
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18-7: Alternating Current
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18-8: Microscopic View of Electric Current
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18-10: Nerve Conduction
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Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 28
Q

The heating element of an electric oven is designed to produce 3.3 kW of heat when connected to a 240-V source. What must be the resistance of the element?

A
17Ω17 \Omega
Giancoli 7th Edition, Chapter 18, Problem 28 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. To find the resistance of the heating element on this electric stove. Let's rearrange this formula. This is the power consumption, is voltage squared across the element divided by its resistance. We’ll multiply both sides by R over P and on the left side the Ps cancelled leaving us with R and on the right side the R cancel leaving us with P on the bottom. So we have resistance is voltage squared divided by power, so that's 240 volts squared divided by 3.3 kilowatts or 3.3 times ten to the three watts which is 17 ohms.

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