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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?

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

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

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


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


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


Which has more resistance: 

 a long piece of nichrome wire or a short one?


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 . 


How will you infer with the help of an experiment that the same current flows through every part of the circuit containing three resistors R1, R2 and R3 in series connected to a battery of V volts?


Assertion: Conductors allow the current to flow through themselves.

Reason: They have free charge carriers.


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

The resistance of a wire of 0.01 cm radius is 10 Ω. If the resistivity of the wire is 50 × 10-8 Ω, find the length of this wire.


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