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What Do You Understand by the "Resistivity" of a Substance? - Science

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प्रश्न

What do you understand by the "resistivity" of a substance?

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उत्तर

We know that resistance , `R=(rhol)/A`

So resistivity,  `rho=RA/l/`

When the area of cross-section, A is 1 m2 and the length of the wire, l is 1 m, resistance is equal to resistivity.

Resistivity may be defined as the resistance offered by a conductor of length 1 m and area of cross-section 1 m2.

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पाठ 1: Electricity - Exercise 4

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संबंधित प्रश्‍न

On what factors does the resistance of a conductor depend?


List the factors on which the resistance of a conductor in the shape of a wire depends.


Why are alloys commonly used in electrical heating devices? Give reason.


Which has less electrical resistance : a thin wire or a thick wire (of the same length and same material)?


Classify the following into good conductors, resistors and insulators:

Rubber, Mercury, Nichrome, Polythene, Aluminium, Wood, Manganin, Bakelite, Iron, Paper, Thermocol, Metal coin


 What happens to the resistance as the conductor is made thinner?


Name the electrical property of a material whose symbol is "omega".


Which among iron and mercury is a better conductor of electricity?


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?


 Give two examples of substances which are good conductors of electricity. Why do you think they are good conductors of electricity?


How does the resistance of a conductor depend on: 

 area of cross-section of the conductor?


What would be the effect on the resistance of a metal wire of:

increasing its length?


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.


Write the relation between resistance and electrical resistivity of the material of a conductor in the shape of a cylinder of length `'l'`  and area of cross-section `'A'` . Hence derive the S.I. unit of electrical resistivity.


Materials which allow larger currents to flow through them are called:


Use the data in the Table given below to answer the following –

Which material is the best conductor?

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
Alloys


Constantan
(alloy of Cu and Ni)
49 × 10−6
Manganin
(alloy of Cu, Mn and Ni)
44 × 10−6
Nichrome
(alloy of Ni, Cr, Mn and Fe)
100 × 10−6
Insulators Glass 1010 − 1014
Hard rubber 1013 − 1016
Ebonite 1015 − 1017
Diamond 1012 − 1013
Paper (dry) 1012

How will you infer with the help of an experiment that the same current flows through every part of the circuit containing three resistances in series connected to a battery?


How will the resistance of a wire be affected if its

  1. length is doubled, and
  2. radius is also doubled ?

Give justification for your answer.


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