Question

A wire of length 1m and diameter 0.2mm has a resistance of 100ohm.calculate the specific resistance of the material of the wire

Answer 1

Here’s your answer below

Answer 2

Answer:

Concept :

The resistance provided per unit length and cross-sectional area when a specific voltage is applied is referred to as specific resistance. The following is the mathematical representation: ρ = R A L. The ability of a substance to obstruct the flow of an electric current through it is known as resistance. A unit length and unit cross-section of a substance's resistance to a current when a voltage is applied is referred to as its specific resistance. The SI unit for it is m.

Explanation:

Given :

l = 1 m = 1000mm

d = 0.2 mm

R = 100  ohm

To Find :

Specific resistance of the material of the wire

Solution :

Specific resistance $\rho = \frac{RA}{ l}$

A = $\pi r^{2}$

  = 3.14 × $(0.1^{2} )$

A = 0.0314 $mm^{2}$

P = 100 $(\frac{0.0314}{ 1000})$

P = 3.14 × $10^{-7} \Omega m$

#SPJ3