Home
Class 12
PHYSICS
Calculate the resistivity of the materia...

Calculate the resistivity of the material of wire 1 m long, 0.4 mm in diameter and having a resistance of `2 Omega`.

Text Solution

Verified by Experts

We are given: `l = 1"m", D = 0.4 " mm" = 0.4 xx 10^(-3)" m" = 4xx 10^(-4)" m", R = 2.0 Omega`
We know that, cross-sectional area of the wire,
`A = ( pi D^2)/( 4) = ( pi xx ( 4xx 10^(-4) )^2 )/( 4) = 4pi xx 10^(-8)" m"^(2)`
Using relation: `R = rho (l)/( A)` we have,
`rho = ( RA)/( l) = ( 2 xx 4pi xx 10^(-8) )/( 1) = 2.514 xx 10^(-7) Omega" m"`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Calculate the resistivity of the material of a wire 2 m long. 0.4 mm in diameter and having a resistance of 4Omega .

Cacculate the resissivity of the amterial of a wire 1.0 m long, 0.4 mm in diameter and having a resistance of 2.0 ohm.

Calculate the resistivity of the material of wire 1.0 m (meter) long 0.4 mm (millimeter) in diameter and having resistance of 2.0 ohm.

The specific resistance ofo a wire 1.1 m long, 0.4 mm in diameter and haivng a total resistance of 4.2 ohm will be

Calculate the electrical conductivity of the material of a conductor of length 3m, area of cross section 0.2 mm^2 having a resistance of 2 ohm.