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A wire of length 1 m and radius 0.1 mm has a resistance of 100 Ω. Find the resistivity of the material. - Physics

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प्रश्न

A wire of length 1 m and radius 0.1 mm has a resistance of 100 Ω. Find the resistivity of the material.

संख्यात्मक
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उत्तर

Let ρ be the resistivity of the wire.

Given:-

Length, l = 1 m

Radius, r = 0.1 × 10–3 m

Area, A = πr2

Resistance, R = 100 Ω

We know:-

`R = rho l/A`

⇒ `rho = (RA)/l`

= `(100 xx pi xx 0.1 xx 0.1 xx 10^-6)/1`

= `pi xx 10^-6 Omegam`

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पाठ 10: Electric Current in Conductors - Exercises [पृष्ठ १९८]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 10 Electric Current in Conductors
Exercises | Q 6 | पृष्ठ १९८

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