Two wires of same length and area made of two materials of resistivity ρ1 and ρ2 are connected in series to a source of potential V. The equivalent resistivity for the same area is
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We know that, R=ρL/a
Therefore resistances of wires are ρ1 L/a and ρ2 L/a
R=L/a(ρ1 + ρ2)
As, V=IR
V=I X L/a(ρ1 + ρ2)
ρ=(R X a)/L
ρ=(L/a(ρ1 + ρ2) X a)/2L
ρ=(ρ1 + ρ2)/2 ohm
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