The resistance, R of a wire varies directly as the length, l, and inversely as the diameter, d, squared. If R is 1.50ohms when l =2.0 m and d=1.5 mm, what is the resistance of a wire made of the same material that is 8.0 m long and has a diameter of 3.0 mm?
1 answer:
Answer:
resistance is 1.5 ohms (1.5 Ω)
Step-by-step explanation:
R varies directly with l
R varies inversely with
We can set-up a proportionality statement as shown below:
Now, Given,
R = 1.50
l = 2
d = 1.5
We substitute and find k (the proportionality constant):
Now, we will use this value of k to solve the problem.
Given,
l = 8
d = 3
and
k = 1.6875
We find R:
The resistance is 1.5 ohms (1.5 Ω)
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