An aluminum αAl=4×10−3/0C wire resistance ‘R1 ’ and carbon wire αC=-0.5×10−3/0C  resistance ‘ R2’ are connected in series to have a resultant resistance of 18 ohm at all temperatures .  The values of  R1 and R2  in ohms

An aluminum αAl=4×103/0C wire resistance ‘R1 ’ and carbon wire αC=-0.5×103/0C  resistance ‘ R2’ are connected in series to have a resultant resistance of 18 ohm at all temperatures .  The values of  R1 and R2  in ohms

  1. A

    2,16

  2. B

    12,4

  3. C

    13,5

  4. D

    14,4

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    Solution:

    Given αAl=4×103/0C αC=0.5×103/0C

    R1+R2=18Ω, R1αAl=R2αC
    R1R2=αCαAi=0.54=18R2=8R1

    R1+R2=189R1=18 R1=2Ω ,R2=16Ω

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