SOLUTION: The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a

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Question 92734This question is from textbook Algebra and Trigonometry
: The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material? This question is from textbook Algebra and Trigonometry

Answer by psbhowmick(878) (Show Source):
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___________ (1)
where (in Ohm) = resistance of the first electrical wire of length = (in metre) and diameter = (in centimetre) and = constant of variation with appropriate units

Similarly, __________ (2)
where (in Ohm) = resistance of the second electrical wire of length = (in metre) and diameter = (in centimetre) and = constant of variation with appropriate units
Dividing equation (1) by equation (2)

As both the wires are of same material
So, _________ (3)

Here , , , and

Then, from substituting these values in equation (3)