Determine the resistance of a bus bar made of copper if the length is 10m long and the cross-section is 4 x 4 cm2. Use 1.724 x 10-6 ohm-cm as the resistivity

To determine the resistance of the copper bus bar, we can use the following formula for resistance:

\[
R = \rho \frac{L}{A}
\]

Where:
- \( R \) is the resistance,
- \( \rho \) is the resistivity of the material (copper in this case),
- \( L \) is the length of the conductor,
- \( A \) is the cross-sectional area of the conductor.

### Given:
- Resistivity (\( \rho \)) = \( 1.724 \times 10^{-6} \, \Omega \cdot \text{cm} \),
- Length (\( L \)) = 10 meters = 1000 cm,
- Cross-sectional area = \( 4 \, \text{cm} \times 4 \, \text{cm} = 16 \, \text{cm}^2 \).

### Calculation:

Now, we substitute the given values into the formula:

\[
R = (1.724 \times 10^{-6}) \times \frac{1000}{16}
\]

Let’s compute the result.

The resistance of the copper bus bar is approximately \( 0.000108 \, \Omega \) (or 108 micro-ohms).

Would you like further details or have any questions?

Here are 5 related questions to expand on this concept:
1. How would the resistance change if the bus bar's length were doubled?
2. What is the impact on resistance if the cross-sectional area of the bus bar is halved?
3. How would the resistance change if the material was aluminum instead of copper?
4. How does temperature affect the resistivity of copper, and thus its resistance?
5. How can this resistance affect the power losses in an electrical system?

**Tip:** Always ensure units are consistent when calculating, especially converting between meters and centimeters.

Determine the resistance of a bus bar made of copper if the length is 10m long and the cross-section is 4 x 4 cm2. Use 1.724 x 10-6 ohm-cm as the resistivity.

Learn how to calculate the resistance of a copper bus bar with a length of 10 meters and a cross-sectional area of 4 x 4 cm² using the resistivity of copper. This step-by-step guide explains the formula R = ρ * (L / A) and provides key details on resistivity and resistance concepts.

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