Question

A conductor of length 85 cm has a resistance of 3.75 Ω. Calculate the resistance of a similar conductor of length 540 cm.

Answer 1

l₁ = 85 cm; R₁ = 3.75 Ω; l₂ = 540 cm; R₂ = ?

For a similar conductor, resistance is directly proportional to length.

\[ \frac{\text{R}_{1}}{\text{R}_{2}}=\frac{l_{1}}{l_{2}}\]

\[\text{R}_{2} = \frac{\text{R}_{1} \cdot l_{2}}{l_{1}}\]

\[= \frac{3.75 \times 540}{85}\]

= 23.82 Ω