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The Resistance RR Of a Wire Varies Directly as Its Length LL

Question 229

Essay

The resistance RR of a wire varies directly as its length LL and inversely as the square of twice its radius.
(a) Write an equation that expresses this direct variation.
(b) Find the constant of proportionality if a wire 2.42.4 m long and
0.0040.004 m in diameter has a resistance of
150150 ohms.
(b), find the diameter of a wire that has a resistance of 9090 ohms and is
1.21.2 m long.
(c) Using the constant of proportionality from part

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