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Q.

Outline the relation between resistance and electrical resistivity of the material of a conductor in the shape of cylinder of length ' ' and therefore the area of cross section ' '.Resistance of a metal wire of length 5m is . If the area of the cross section of the wire is . What is the resistivity of the metal?

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a

b

6 \times 10^{- 5} Ω - m

c

6 \times 10^{- 4} Ω - m

d

6 \times 10^{- 7} Ω - m

answer is A.

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Detailed Solution

Concept- Resistance is characterized as a conductor's quality that opposes the flow of electric current. The ratio of the applied voltage to the electric current passing through it is another definition for it. The resistance provided by a substance per unit length per unit cross-section is referred to as resistivity. Ohm.meter is the SI unit for resistivity.
Relationship between resistance and electrical resistance within a cylinder with a cross section area of A and a length l,
Then we get the formula,

Where

is resistance.
Now,

currently substitute the units of R, A, and

, we get
where as,

and

then

Only if, resistance,

, Length

and area of cross section

.
Now we will calculate the resistivity in metal by equation

Substitute the particularly values with in the equation (1) , then we tend to go

So,the resistivity of a metal is

.
Hence, option 1 is correct.

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Outline the relation between resistance and electrical resistivity of the material of a conductor in the shape of cylinder of length ' ' and therefore the area of cross section ' '.Resistance of a metal wire of length 5m is . If the area of the cross section of the wire is . What is the resistivity of the metal?