Calculate the resistance of copper wire having a length of 1 km and diameter 0.5 mm. (Resistivity of copper = 1.7 × 10 − 8 Ω m) A . 50 Ω B . 60 Ω C . 75 Ω D . 85 Ω

Question

Calculate the resistance of copper wire having a length of 1 km and diameter 0.5 mm. (Resistivity of copper   =  1.7  ×      10          −      8            Ω    m)   A  .  50      Ω      B  .  60      Ω      C  .  75      Ω      D  .  85      Ω

usifaneledv2 · Accepted Answer

the resistance of copper,       ρ    =  1.7  ×      10          −      8            Ω    m Length of the wire,   L  =  1  k  m  =  1000  m Diameter of wire,   d  =  0.5  m  m  =  0.5  ×      10          −      3        m Radius of wire,   r  =      d    2    =  2.5  ×      10          −      4        m Area of cross section of wire:  A  =      π        r    2    A  =  3.14  ×  (  2.5  ×      10          −      4            )    2    A  ≈  2  ×      10          −      7            m    2   Resistance comes from:  R  =                    ρ            L        A    R  =  1.7  ×      10          −      8        ×            10      3              2      ×              10                  −          7                      R  =  85      Ω

Calculate the resistance of copper wire having a length of 1 km and diameter 0.5 mm. (Resistivity of copper =1.7 xx 10^(−8) Omega m) A. 50 Omega B. 60 Omega C. 75 Omega D. 85 Omega

Answered question

Answer & Explanation

New Questions in Advanced Physics