Question

Resistance of a metal wire of length 5 metre is 100 $\Omega$
If area of cross section is
$3 \times {10}^{ - 7} {m}^{2}$

Calculate the Resistivity of the metal!


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Answer 1

Since R = þ × length/Cross section area

Resistivity of any metal is different  and can be taken out when 3 terms, Resistance, Length and Area has been given.

• Here, Resistance = 100 Ω,

• Cross section area = 3 × 10⁻⁷ m²
• and Length = 5 m

100 = þ × 5 / ( 3 × 10⁻⁷ )

100 × ( 3 × 10⁻⁷ ) / 5 = þ

20 × 3 × 10⁻⁷ = þ

6 × 10⁻⁷⁺¹ = þ

6 × 10⁻⁶ Ωm = þ

Resistivity of metal will be 6 × 10⁻⁶ Ωm.

Answer 2

Answer:

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