Question

The length of copper wire is 100 meter. It's radius is 1mm. Resistivity of pure copper is 1.72 X 10^-8 ohm meter. Calculate it's resistance.​

Answer 1

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Answer 2

Answer:

Resistance of the wire is 0.55Ω

Explanation:

We have:

• length of the wire = 100 m
• Radius of the wire = 1 mm =${10}^{ - 3}$
• Resistivity =$1.72 \times {10}^{ - 8}$Ωm

Firstly, let's calculate the area of cross section of the wire.

⇛ A = πr²

⇛ A = 3.14×${10}^{ - 3} \times {10}^{ - 3}$

⇛ A = 3.14× ${10}^{ - 6}$

Now, we know that:

• R = Pi/A

Substituting values, we get:

⇛ R = $\frac{1.72 \times {10}^{ - 8} \times 100}{3.14 \times {10}^{ - 6} }$

⇛ R = $\frac{172 \times {10}^{ - 8} }{3.14 \times {10}^{ - 6} }$

⇛ R = $\frac{1.72 \times {10}^{ - 6} }{3.14 \times {10}^{ - 6} }$

⇛ R = $\frac{1.72}{3.14}$

⇛ R = 0.55Ω