SOLUTION: The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire with a length of 200 inches and a diameter of one-quarter of a

Question 750403: The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire with a length of 200 inches and a diameter of one-quarter of an inch has a resistance of 20 ohms. Find the electrical resistance in a 500 inch wire with the same diameter.
Found 2 solutions by josmiceli, ankor@dixie-net.com:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

given:

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The resistance is 50 ohms

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The electrical resistance of a wire varies directly as its length and inversely
as the square of its diameter.
A wire with a length of 200 inches and a diameter of one-quarter of an inch has
a resistance of 20 ohms.
Find the electrical resistance in a 500 inch wire with the same diameter.
:
let r = the resistance of a 500" wire
Since resistance varies directly with length and the diameter is the same we can:
=
Cross multiply
200r = 20*500
Divide thru by 20
10r = 500
r = 500/10
r = 50 ohms
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