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Question
Can a 2.5-mm-diameter copper wire have the same resistance as a tungsten wire of the same length? Give numerical details.
Solution
VerifiedAnswered 2 years ago
Answered 2 years ago
Step 1
1 of 2In order to determine the resistance we use the equation :
where represents the resistivity of a certain material, is a cross sectional area where is diameter.
In our problem we have a copper wire with a length and a tungsten wire with a same length . Let's denote with and the resistances of the copper and tungsten wire respectively. If the resistances are the same then:
where and (table 18-1). Therefore from (1):
Solve for
The is answer is: It can if the diameter of the tungsten wire is
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