The heating element of an electric toaster is typically made of nichrome wire (an alloy of nickel and chromium). As a current passes through the wire, the wire heats up, thus toasting the toast. Estimate the overall resistance of a heating element which is 245 cm long with a diameter of 0.5 mm. The coefficient of resistivity for nichrome is 1.1*10-6 Ω•m. (Hint: Treat the heating element as a long straight cylinder). a) 1.37 Ω
The heating element of an electric toaster is typically made of nichrome wire (an alloy of nickel and chromium). As a current passes through the wire, the wire heats up, thus toasting the toast. Estimate the overall resistance of a heating element which is 245 cm long with a diameter of 0.5 mm. The coefficient of resistivity for nichrome is 1.1*10-6 Ω•m. (Hint: Treat the heating element as a long straight cylinder). a) 1.37 Ω
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 14P
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The heating element of an electric toaster is typically made of nichrome wire (an alloy of nickel and chromium). As a current passes through the wire, the wire heats up, thus toasting the toast. Estimate the overall resistance of a heating element which is 245 cm long with a diameter of 0.5 mm. The coefficient of resistivity for nichrome is 1.1*10-6 Ω•m. (Hint: Treat the heating element as a long straight cylinder).
a) 1.37 Ω
b) 3.43 Ω
c) 13.73 Ω
d) none of these.
Expert Solution
Step 1
The resistance is given by
where, L is the length and A is the area, is the resistivity.
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