Home
Class 10
PHYSICS
A copper wire of length 2m and area of c...

A copper wire of length 2m and area of cross-section `1.7 xx 10^(-6)m^(2)` has a resistance of `2 xx 10^(-2)`ohms. Calculate the resistivity of copper.

A

`1.7 xx 10^(-8)`

B

`1.7 xx 10^(-9)`

C

`1.7 xx 10^(-10)`

D

`1.7 xx 10^(-11)`

Text Solution

Verified by Experts

The correct Answer is:
A
The formula for resistivity is:
Resistivity, `rho = (R xx A)/(l)`
Here, Resistance, `R = 2 xx 10^(-2)Omega`
Area of cross-section, `A = 1.7 xx 10^(-6)m^(2)`
And, Length, `l = 2m`
So, putting these values in the above formula, we get:
`rho = (2 xx 10^(-2) xx 1.7 xx 10^(-6))/(2)`
`=1.7 xx 10^(-8) Omegam`
Thus, the resistivity of copper is `1.7 xx 10^(-8)` ohm-metre.
Promotional Banner

Topper's Solved these Questions

  • ELECTRICITY

    LAKHMIR SINGH & MANJIT KAUR|Exercise Sample Problem|1 Videos

  • ELECTRICITY

    LAKHMIR SINGH & MANJIT KAUR|Exercise Exercise|311 Videos

  • MAGNETIC EFFECT OF ELECTRIC CURRENT

    LAKHMIR SINGH & MANJIT KAUR|Exercise NCERT BOOK|2 Videos

Similar Questions

Explore conceptually related problems

A copper wire of length 50cm and area of cross-section 10^(-6)m^(2) caries a current of 1A .If the resistivity of copper is 1.8times10^(-8)Omegam .The electrical field across the wire is

A nichrome wire of length 100 cm and area of cross-section 0.5 m m^(2) has a resistance of 2.2 Omega . The resistivity of nichrome is

The resistance of a wire of length 80 cm and of uniform area of cross-section 0.025 cm^2 , is found to be 1.50 ohm. Calculate the resistivity of the wire.

Find the resistance of a copper coil of total wire-length 10m and area of cross section 1.0mm^(2). What would be the resistance of a similar coil of aluminium? The resistivity of copper =1.7xx10^(-8)(Omega)m and that of aluminium 2.6xx10^(-8)(Omega).

A copper wire of length 4.0 mm and area of cross-section 1.2 cm^(2) is stretched with a force of 4.8 xx 10^(3) N. If Young's modulus for copper is 1.2xx10^(11) N//m^(2) , the increases in the length of the wire will be

A current of 1.0 ampere is flowing through a copper wire of length 0.1 metre and cross-section 1.0xx10^(-6) m^(2) . (i) If the specific resistance of copper be 1.7xx10^(-8) Omega m , calculate the potential difference across the ends of the wire. (ii) Determine current density in the wire. (iii) If there be one free electron per atom in copper, then determine the drift velocity of electrons. Given : density of copper =8.9xx10^(3) kg m^(-3) , atomic weight =63.5, N=6.02xx10^(26) per kg-atom.

Calculate the conductivity of a wire of length 2 m, area of cross-sectionl 2 cm^(2) and resistance 10^(-4) Omega .

A uniform copper wire of length 1m and cross section area 5 xx 10^(-7)m^(2) carries a current of 1A . Assuming that are 8 xx 10^(28) free electron per m^(3) in copper, how long will an electron take to drift from one end of the wire an electron the other. Charge on an electron = 1.6 xx 10^(-19)C

(a) Write down an expression for the resistance of a metallic wire in terms of the resistivity. (b) What will be the resistance of metal wire of length 2 metres and ares of cross-section 1.55 xx 10^(-6)m^(2) , if the resistivity of the metal be 2.8 xx 10^(-8) Omega m ?