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Which Has Less Electrical Resistance : a Thin Wire Or a Thick Wire (Of the Same Length and Same Material)? - Science

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प्रश्न

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

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उत्तर

A thick wire has a greater area of cross-section, whereas a thin wire has a smaller area of cross-section. Also, the resistance of a conductor is inversely proportional to its area of cross-section. This means that a thick wire has lesser resistance than a thin wire.

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पाठ 1: Electricity - Exercise 3

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संबंधित प्रश्‍न

On what factors does the resistance of a conductor depend?


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

Which among iron and mercury is a better 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

What is (a) the highest, (b) the lowest total resistance that can be secured by combinations of four coils of resistance 4 Ω, 8 Ω, 12 Ω, 24 Ω?


Why are copper and aluminium wires usually employed for electricity transmission?


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.


What is the general name of the substances having infinitely high electrical resistance?


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


Which has more resistance:    

 a thick piece of nichrome wire or a thin piece?


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


Calculate the resistance of a copper wire 1.0 km long and 0.50 mm diameter if the resistivity of copper is 1.7 × 10−8 Ω m.


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 diameter? 

 


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

increasing its temperature?

 


How does the resistance of a wire change when: 

its material is changed to one whose resistivity is three times?


Resistance of a metal wire of length 5 m is 100 Ω . If the area of cross - section of the wire is `3 × 10^-7  "m"^2` , Calculate the resistivity of the metal . 


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

Plastic insulation surrounds a wire having diameter d and length l as shown above. A decrease in the resistance of the wire would be produced by an increase in the ______.


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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