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What Will Be the Resistance of a Metal Wire of Length 2 Metres and Area of Cross-section 1.55 × 10−6 M2 If the Resistivity of the Metal Be 2.8 × 10−8 ω M?

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Question

What will be the resistance of a metal wire of length 2 metres and area of cross-section 1.55 × 10−6 m2 if the resistivity of the metal be 2.8 × 10−8 Ω m?

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Solution

Length of the cable wire, l = 2 m
Area of cross-section, A = 1.55 × 10−6 m2

Resistivity of the cable wire  ,/2m 
Area of cross-section, `A= 1.55xx10^6m^2` 
Resisitivity of the aluminium cable wire, `rho=2.8xx10^8`Ωm 
 
 
We know that:  
`R=rho/A` 
`R=(2.8xx10^-8xx2)/(1.55xx10^-6)`
 
R = 0.036 Ω
Thus, the resistance of the metal wire, R = 0.036 Ω
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Chapter 4: Electricity - Exercise 4

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Lakhmir Singh Physics [English] Class 10
Chapter 4 Electricity
Exercise 4 | Q 15.2

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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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Constantan
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49 × 10−6
Manganin
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44 × 10−6
Nichrome
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100 × 10−6
Insulators Glass 1010 − 1014
Hard rubber 1013 − 1016
Ebonite 1015 − 1017
Diamond 1012 − 1013
Paper (dry) 1012

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