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Alona [7]
3 years ago
7

Your plot your results as I versus 1/d and find that the data lie close to a straight line that has slope 600 A⋅m. What is the r

esistivity of the material of which the wire is made? Express your answer in ohm-meters.
Physics
1 answer:
maw [93]3 years ago
3 0

Answer:

\rho=4.02\times 10^{-8}\ \Omega-m

Explanation:

Let us assume that the radius of the wire, r = 0.8 mm = 0.0008 m

EMF of the battery, V = 12 V

Slope of I versus 1/d, m = 600 A-m

The resistance of any material is given by :

R=\rho \dfrac{d}{A}

d is the length of wire

Since, I=\dfrac{V}{R}

I=\dfrac{VA}{\rho d}

I=\dfrac{VA}{\rho}.(\dfrac{1}{d})

y=slope\times x

\dfrac{VA}{\rho}=600

\rho=\dfrac{VA}{600}

\rho=\dfrac{12\times \pi \times (0.0008)^2}{600}

\rho=4.02\times 10^{-8}\ \Omega-m

So, the resistivity of the material of which the wire is made is 4.02\times 10^{-8}\ \Omega-m.

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