In the electric current flow, it is found that the resistance (measured in the units called ohms) offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire. If a wire 0.01 in. in diameter has a resistance of 0.306 ohm, what is the resistance of a wire of the same length and material with diameter 0.0299 in. to the nearest ten-thousandth?

Question

Sarah Kaiser

Physics

14 June, 15:40

In the electric current flow, it is found that the resistance (measured in the units called ohms) offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire. If a wire 0.01 in. in diameter has a resistance of 0.306 ohm, what is the resistance of a wire of the same length and material with diameter 0.0299 in. to the nearest ten-thousandth?

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Answers (1)

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Paxton Cameron · Answer 1

Here's your explanation:

R = k / d^2 (k is a constant, unknown)

d1 = 0.01 and R1 = 0.306

d2 = 0.0299 R2 = ?

Use the equation in line 1 for both case and divide and k will go away and you can find R2