Question

the specific resistance of the material of s wire is 44*10^-8ohm if the resistance of the wire is 14ohm and its radius is0.5*10^-3m calculate the length of the wire​

Answer 1

Question

The specific resistance of the material of s wire is 44*10^-8ohm if the resistance of the wire is 14ohm and its radius is0.5*10^-3m calculate the length of the wire​

Answer:

Given :

Specific Resistance , ρ = 44*10^(-8) Ω = 0.00000044 Ω

Resistance ,  R = 14 Ω

Radius , r = 0.5 * 10^(-3) m

=> Area , A = πr²

Area , A = 0.00000025 π

Formula :- $R=\frac{\rho l}{A}$

Sub. values in the formula we get ,

=> 14 = 0.00000044 * l / 0.00000025 π

=> 0.0000109955 = 0.00000044*l

=> l = 24.9899 m

More Information :

• specific resistance? :-

• Specific resistance is defined as the resistance offered per unit length and unit cross-sectional area when a known amount of voltage is applied. The mathematical representation is as follows:

• ρ=(R/A)*L

Where,  

• ⍴: specific resistance

• R: resistance

• A: cross-sectional area

• L: length of the material