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Two resistances R₁ and R₂ are made of different materials. The temperature coefficient of the material of R₁ is α and of the material of R₂ is −β. The resistance of the series combination of R₁ and R₂ will not change with temperature, if R₁/R₂ equals
- a)α/β
- b)α+β / α-β
- c)α2+β2/ αβ
- d)β/α
Correct answer is option 'D'. Can you explain this answer?
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Two resistances R and R are made of different materials. The temperatu...
Explanation:
Concept:
When resistances R and R are connected in series, the total resistance R_total is given by:
R_total = R + R
Analysis:
For the resistance of the series combination of R and R to remain constant with temperature, the change in resistance of R should cancel out the change in resistance of R.
Solution:
Let the resistance of R be R and the resistance of R be R.
The change in resistance for R is given by: ∆R = αR∆T
The change in resistance for R is given by: ∆R = -βR∆T
For the total resistance R_total to remain constant with temperature:
αR∆T +(-β)R∆T = 0
αR - βR = 0
R(α - β) = 0
R = 0 or α = β
Since resistance cannot be zero, we have α = β.
Therefore, R/R = α/β, which is option 'D'.
Concept:
When resistances R and R are connected in series, the total resistance R_total is given by:
R_total = R + R
Analysis:
For the resistance of the series combination of R and R to remain constant with temperature, the change in resistance of R should cancel out the change in resistance of R.
Solution:
Let the resistance of R be R and the resistance of R be R.
The change in resistance for R is given by: ∆R = αR∆T
The change in resistance for R is given by: ∆R = -βR∆T
For the total resistance R_total to remain constant with temperature:
αR∆T +(-β)R∆T = 0
αR - βR = 0
R(α - β) = 0
R = 0 or α = β
Since resistance cannot be zero, we have α = β.
Therefore, R/R = α/β, which is option 'D'.
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Two resistances R and R are made of different materials. The temperature coefficient of the material of R is α and of the material of R is −β. The resistance of the series combination of R and R will not change with temperature, if R/R equalsa)α/βb)α+β / α-βc)α2+β2/ αβd)β/αCorrect answer is option 'D'. Can you explain this answer?
Question Description
Two resistances R and R are made of different materials. The temperature coefficient of the material of R is α and of the material of R is −β. The resistance of the series combination of R and R will not change with temperature, if R/R equalsa)α/βb)α+β / α-βc)α2+β2/ αβd)β/αCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two resistances R and R are made of different materials. The temperature coefficient of the material of R is α and of the material of R is −β. The resistance of the series combination of R and R will not change with temperature, if R/R equalsa)α/βb)α+β / α-βc)α2+β2/ αβd)β/αCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two resistances R and R are made of different materials. The temperature coefficient of the material of R is α and of the material of R is −β. The resistance of the series combination of R and R will not change with temperature, if R/R equalsa)α/βb)α+β / α-βc)α2+β2/ αβd)β/αCorrect answer is option 'D'. Can you explain this answer?.
Two resistances R and R are made of different materials. The temperature coefficient of the material of R is α and of the material of R is −β. The resistance of the series combination of R and R will not change with temperature, if R/R equalsa)α/βb)α+β / α-βc)α2+β2/ αβd)β/αCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two resistances R and R are made of different materials. The temperature coefficient of the material of R is α and of the material of R is −β. The resistance of the series combination of R and R will not change with temperature, if R/R equalsa)α/βb)α+β / α-βc)α2+β2/ αβd)β/αCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two resistances R and R are made of different materials. The temperature coefficient of the material of R is α and of the material of R is −β. The resistance of the series combination of R and R will not change with temperature, if R/R equalsa)α/βb)α+β / α-βc)α2+β2/ αβd)β/αCorrect answer is option 'D'. Can you explain this answer?.
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