In the electric currect 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 0.447 ohms, what is the resistance of a wire of the same length and material with diameter 0.0192 in. to the nearest ten-thousandth?

0.1213 ohms

Step-by-step explanation:

If a quantity, A, varies inversely as the square of another quantity, B, we can write the proportionality equation as:

In our problem, we have,

Resistance varies inversely as the square of Diameter

Let resistance be r and diameter be d, so we can write:

Where

k is the proportionality constant to be found

Now, it is given that

r = 0.447

d = 0.01

We substitute and find k:

Again, we need to solve for r, given k = 0.0000447 and now d = 0.0192. Thus, we have:

The resistance is 0.1213 ohms

the correct answer is d

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step-by-step explanation:

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