Chapter 27: Q. 37 (page 763)

Household wiring often uses $2.0 m m$ diameter copper wires. The wires can get rather long as they snake through the walls from the fuse box to the farthest corners of your house. What is the potential difference across a $20 m$ long, $2.0 m m$ diameter copper wire carrying an $8.0 A$ current?

Short Answer

Expert verified

The potential difference across a $20 m$ long, $2.0 m m$ diameter copper wire carrying an $8.0 A$ current is $0.866 v o l t s .$

Step by step solution

Given Information

Copper wire length $= 20 m$

Copper wire diameter $= 2.0 m m$

Current $= 8.0 A$

Explanation

Diameter of copper wire $= 2 mm$

Length of wire $= 20 m$

Resistivity of copper wire, $ρ = 1.7 \times 10^{- 8} Ω m$

Cross section area of wire, $A = \frac{π}{4} d^{2}$

$= \frac{π}{4} {(2 \times 10^{- 3})}^{2}$

$= 3.14 \times 10^{- 6} m^{2}$

Resistivity $R = \frac{ρ l}{A}$

Substitute the values,

$= (\frac{1.7 \times 10^{- 8} Ω m \times 20 m}{3.14 \times 10^{- 6} m^{2}})$

Simplify the values,

localid="1649070865624" $R = 10.82 \times 10^{- 2} Ω$

Find the potential difference,

$V = I \times R$

We have $I = 8 A$

localid="1649070954783" $V = (8 A \times 10.82 \times 10^{- 2} Ω)$

$V = 0.866 v o l t s .$

Final Answer

Hence, the potential difference is $0.866 v o l t s .$

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Household wiring often uses $2.0 m m$ diameter copper wires. The wires can get rather long as they snake through the walls from the fuse box to the farthest corners of your house. What is the potential difference across a $20 m$ long, $2.0 m m$ diameter copper wire carrying an $8.0 A$ current?

Short Answer

Step by step solution

Given Information

Explanation

Final Answer

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Household wiring often uses 2.0mm diameter copper wires. The wires can get rather long as they snake through the walls from the fuse box to the farthest corners of your house. What is the potential difference across a 20m long, 2.0mm diameter copper wire carrying an 8.0Acurrent?

Short Answer

Step by step solution

Given Information

Explanation

Final Answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Scientific Method Physics

Electricity

Waves Physics

Mechanics and Materials

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Study anywhere. Anytime. Across all devices.

Household wiring often uses $2.0 m m$ diameter copper wires. The wires can get rather long as they snake through the walls from the fuse box to the farthest corners of your house. What is the potential difference across a $20 m$ long, $2.0 m m$ diameter copper wire carrying an $8.0 A$ current?