The power of an electrical device can be calculated using thefollowing formula:v2P =Rwhere P is the power measured in watts, Vis the electric potential ('voltage') measured in volts, and R isthe resistance measured in ohms.Part (a): Calculate the power of a hair dryer that has a resistance of 14 ohms and operates at 120. volts.Show your work, and ensure that each numeric value has the appropriate units. Your answer should berounded to the appropriate number of significant digits.Part (b): Watts, volts, and ohms are Sl units that can be expressed in the 'base' SI units as follows:kg-m2kg-m2kg-m2watt =s3voltohms3.A 's3.Ą2 '(Recall that 'A' is the abbreviation for an ampere.) Use algebra and the equation at the top of the page(P=V/R) to show that the base Sl units for watts equal the base Sl units for volts?/ohms. You do not needany numbers in this algebraic exercise. Instead, treat each of the base SI units (kg, m, s, A) as if it were analgebra variable (like x or y). Start with the following equation and substitute the base SI units for watt,volt, and ohm:volt?wattohm

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

100%

The power of an electrical device can be calculated using the
following formula:
v2
P =
R
where P is the power measured in watts, Vis the electric potential ('voltage') measured in volts, and R is
the resistance measured in ohms.
Part (a): Calculate the power of a hair dryer that has a resistance of 14 ohms and operates at 120. volts.
Show your work, and ensure that each numeric value has the appropriate units. Your answer should be
rounded to the appropriate number of significant digits.
Part (b): Watts, volts, and ohms are Sl units that can be expressed in the 'base' SI units as follows:
kg-m2
kg-m2
kg-m2
watt =
s3
volt
ohm
s3.A '
s3.Ą2 '
(Recall that 'A' is the abbreviation for an ampere.) Use algebra and the equation at the top of the page
(P=V/R) to show that the base Sl units for watts equal the base Sl units for volts?/ohms. You do not need
any numbers in this algebraic exercise. Instead, treat each of the base SI units (kg, m, s, A) as if it were an
algebra variable (like x or y). Start with the following equation and substitute the base SI units for watt,
volt, and ohm:
volt?
watt
ohm

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