Two wires of equal length, one of aluminium and the other of copper have the same resistance. Which of the two wires is lighter ? Hence explain why aluminium wires are perferred for overhead power cables. Given For `AI. p_(1)=2.63xx10^(-8)Omega m`, For `Cu, p_(2)=1.72xx10^(-8)Omega m`. Relative density of `AI =2.7` of `Cu =8.9`.
Text Solution
AI Generated Solution
To solve the problem, we need to determine which of the two wires (aluminium or copper) is lighter when both have the same length and resistance. We will also explain why aluminium wires are preferred for overhead power cables.
### Step-by-Step Solution:
1. **Understanding Resistance**:
The resistance \( R \) of a wire is given by the formula:
\[
R = \frac{\rho L}{A}
...
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