Question

What should be the length of nichrome wire of resistance 5.6 Ω, if the length of a similar wire is 80 cm and its resistance is 4.2 Ω?

Answer 1

l₁ = ?; R₁ = 5.6 Ω; l₂ = 80 cm; R₂ = 4.2 Ω

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

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

\[=\frac{5.6}{4.2}\times{80}\]

= 106.67 cm