Physics, asked by haridas52, 9 months ago

Resistance of a metal wire of length 2m is 30ohm at temperature 25℃. If the diameter of the wire is 0.6mm , then what will be the resistivity of the metal at that temperature?
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Answers

Answered by pushkar31124
0

Answer:

2.97/700000 ohm m

Explanation:

Answered by lambadeepak
0

Answer:

Explanation:

Resistance , R = 30Ω

Length of wire , L = 2m

diameter of circular part of wire ,d = 0.6mm = 0.6 × 10⁻³m

so, base area of wire , A = πr² = πd²/4 [ ∵d = 2r]

= 3.14 × (0.6 × 10⁻³)²/4m²

= 3.14 × 36 × 10⁻⁸/4 m²

= 28.26x 10⁻⁸ m²

Now, use formula,

R = ρL/A

Here, R is the resistance, ρ is the resistivity , L is the length of wire and A is the base area of it .

So , ρ = RA/L = 30Ω × 28.26 × 10⁻⁸m²/1m

ρ = 8.478 × 10⁻⁶ Ωm

Hence, resistivity is 8.478 × 10⁻⁶ Ωm at 25°C

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