Find the ratio of the resistance of a copper wire to an aluminum wire if the length and diameter of the aluminum wire is twice the diameter of the copper wire.Given: L 1 = 100 c m R 1 = 25 Ω

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Find the ratio of the resistance of a copper wire to an aluminum wire if the length and diameter of the aluminum wire is twice the diameter of the copper wire.Given:      L    1    =  100     c  m        R    1    =  25  Ω

Hamza Conrad · Accepted Answer

The resistance of a wire is given by   R  =  ρ      L    A  where, L is the length, A is the area,   ρ is resistivity. Let the length of copper wire is L and the radius is r, so the length of aluminum wire is 2L and radius is 2r.Resistivity of copper =   1.72  ×      10          −      8           o  h  m     mResistivity of aluminum =   2.82  ×      10          −      8           o  h  m     mLet the resistance of copper is R and the aluminum is R&#039;. So,       R          R      ′        =            ρ              c        u                    ρ              A        l                  L          2      L                  2      r        r    =      1.72    2.82    =  0.6

Find the ratio of the resistances of a copper wire to an aluminum wire if the length and diameter of the aluminum wire is twice the diameter of the copper. Given: L_1 = 100 cm R_1 = 25 \Omega

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