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Calculate the Area of Cross-section of a Wire If Its Length is 1.0 M, Its Resistance is 23 ω and the Resistivity of the Material of the Wire is 1.84 × 10−6 ω M. - Science

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प्रश्न

Calculate the area of cross-section of a wire if its length is 1.0 m, its resistance is 23 Ω and the resistivity of the material of the wire is 1.84 × 10−6 Ω m.

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उत्तर

Length of the wire, =1.0 m
Resistance of the wire = 23 Ω
Resistivity of the material of the wire = 1.84 × 10−6 Ωm.
We know that, 
`R=l/A` 
Area of cross-section, 
`A=1.84xx10^-6`Ωm
 
A = 8 x 10-8 m2
Thus, the area the of cross-section of the wire, A = 8 x 10-8 m2
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अध्याय 1: Electricity - Exercise 4

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लखमीर सिंग Physics (Science) [English] Class 10
अध्याय 1 Electricity
Exercise 4 | Q 23

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Material Resistivity (Ω m)
Conductors








Silver 1.60 × 10−8
Copper 1.62 × 10−8
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Nickel 6.84 × 10−8
Iron 10.0 × 10−8
Chromium 12.9 × 10−8
Mercury 94.0 × 10−8
Manganese 1.84 × 10−6
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Constantan
(alloy of Cu and Ni)
49 × 10−6
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44 × 10−6
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(alloy of Ni, Cr, Mn and Fe)
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Hard rubber 1013 − 1016
Ebonite 1015 − 1017
Diamond 1012 − 1013
Paper (dry) 1012

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Table give below Electrical resistivity of some substances at 20°C

Electrical resistivity of some substances at 20°C
Material Resistivity (Ω m)
Conductors








Silver 1.60 × 10−8
Copper 1.62 × 10−8
Aluminium 2.63 × 10−8
Tungsten 5.20 × 10−8
Nickel 6.84 × 10−8
Iron 10.0 × 10−8
Chromium 12.9 × 10−8
Mercury 94.0 × 10−8
Manganese 1.84 × 10−6
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Hard rubber 1013 − 1016
Ebonite 1015 − 1017
Diamond 1012 − 1013
Paper (dry) 1012

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