Calculate the power is dissipated in a 135 m length of cable that has a resistance of 0.007Ω per metre if a current of 10 amps flows through it.
Round your answers to 2 decimal places.

To calculate the power dissipated in the cable, we can use the formula:

\[
P = I^2 \times R
\]

Where:
- \( P \) is the power dissipated,
- \( I \) is the current flowing through the cable,
- \( R \) is the total resistance of the cable.

### Step 1: Calculate the total resistance of the cable.
Given:
- Length of the cable, \( L = 135 \) meters
- Resistance per meter, \( r = 0.007 \) Ω/m

Total resistance \( R \) is calculated by:

\[
R = r \times L = 0.007 \, \Omega/\text{m} \times 135 \, \text{m} = 0.945 \, \Omega
\]

### Step 2: Calculate the power dissipated.
Using the formula \( P = I^2 \times R \), where \( I = 10 \) A:

\[
P = (10 \, \text{A})^2 \times 0.945 \, \Omega = 100 \times 0.945 = 94.5 \, \text{W}
\]

Thus, the power dissipated in the cable is \( \boxed{94.50 \, \text{W}} \).

Would you like more details or have any questions? Here are some related questions:

1. What is the significance of power dissipation in electrical circuits?
2. How does increasing the current affect power dissipation in a cable?
3. What is the formula for calculating power dissipated in resistive elements?
4. How does the length of a cable influence its total resistance?
5. Why is it important to know the resistance per meter of a cable?
6. How does resistance affect energy efficiency in electrical systems?
7. What are some methods to reduce power dissipation in cables?
8. How does temperature affect the resistance of a cable?

**Tip:** Always check the resistance of a cable before using it in a circuit to ensure it meets the necessary specifications for power dissipation.

Learn how to calculate the power dissipated in a 135-meter length of cable with a resistance of 0.007Ω per meter when a current of 10 amps flows through it. Detailed step-by-step solution using Ohm's Law and the power dissipation formula. Suitable for college-level studies.

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