`0^(@)C` पर दो चालकों का प्रतिरोध एकसमान है परन्तु उनके प्रतिरोध के ताप गुणांक `alpha_(1)` एवं `alpha_(2)` हैं। उनके श्रेणी एवं समान्तर संयोजन के क्रमशः ताप गुणांक लगभग हैं

Options

A. `(alpha_(1)+alpha_(2))/(2),(alpha_(1)+alpha_(2))/(2)`
B. `(alpha_(1)+alpha_(2))/(2),alpha_(1)+alpha_(2)`
C. `alpha_(1)+alpha_(2),(alpha_(1)+alpha_(2))/(2)`
D. `a_(1)+a_(2),(alpha_(1)alpha_(2))/(alpha_(1)+alpha_(2))`

Answer

A

Explanation

`alpha_(s)=(alpha_(1)R_(01)+alpha_(2)R_(02))/(R_(01)+R_(02))`
`R_(01)=R_(02)=R_(0)` (दिया है)
`alpha_(s)=(alpha_(1)+alpha_(2))/(2)`
समान्तर समूहन के लिये,
`(1)/(R)=(1)/(R_(1))+(1)/(R_(2))implies(1)/(R_(eq))=(1)/(R_(0)(1+alpha_(1)t))+(1)/(R_(0)(1+alpha_(2)t))`
`(1)/((R_(0))/(2)(1+alpha_(p)t))=(1)/(R_(0)(1+alpha_(1)t))+(1)/(R_(0)(1+alpha_(2)t))`
`2(1+alpha_(p)t)^(-1)=(1+alpha_(1)t)^(-1)+(1+alpha_(2)t)^(-1)`
द्विपद प्रसार से,
`2-2alpha_(p)t=1-alpha_(1)t+1-alpha_(2)t`
`impliesalpha_(p)=(alpha_(1)+alpha_(2))/(2)`