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 

R = ρLA

where, L is the length and A is the area, ρ is the resistivity. 

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