Question

Find the resistance of nichrome wire of length 2m and area of cross section 2mm². The resistivity of nichrome is 2 ×10-6 ohm m.​

Answer 1

$\Huge\underline{\overline{\mid\star{\mathfrak{\red{♣ANSWER♣:—}}\star\mid}}}$

Given,

• l (length) = 2m.
• ¶ ( resistivity) = ${2 \times {10}^{ -6} Ωm}$
• Area of cross section → 2mm² = $({2 \times {10}^{ -6})m²}$

$\large\bold{ \mathtt{ \underline{ \color{red} We \: \: know \: that ,}}}$

$\large \bold {\boxed{ \mathtt{ \:R = ¶ \: \: \frac{l}{A} }}}$

$\small\bold{ \mathcal{ \underline{Substituting \: \: the \: \: values,}}}$

$\implies \: R \: = 2 \times {10}^{ - 6} \times \frac{2}{2 \times {10}^{ - 6} }$

$\implies \: \large \bold { \boxed{ \mathtt{ \color{green} {\bold{R \: = 2 \: Ω}}}}}$