Two cylindrical conductor having same $$cross-sectional$$ area ‘A’ and but lengths ‘l’ and ‘$$2l$$’ are connected in series combination. Temperature coefficient of resistivities of their materials are α and $$2$$α respectively. Then effective temperature coefficient of resistivity of the combination is

Question

Two cylindrical conductor having same $$cross-sectional$$ area ‘A’ and but lengths ‘l’ and ‘$$2l$$’ are connected in series combination. Temperature coefficient of resistivities of their materials are α  and $$2$$α  respectively. Then effective temperature coefficient of resistivity of the combination is

Infinity Learn · Accepted Answer

$$(3)Re=R1+R2=$$α  $$lA+2$$α$$.2lA=5$$ αlAAssuming ,  $$Re=$$αe.  $$leA=$$α$$e.3lA$$αe  $$3lA=5$$ αlA    αe $$=$$ $$5$$σ$$3$$

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