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CBSE Class 12-science Answered

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question image
Asked by shrutikiran2000 | 21 May, 2020, 03:05: AM
answered-by-expert Expert Answer
Temperature coefficient is defined as incremental change in resistance of any material due to change in its temperature. 
 
We know, that temperature coefficient of resistance is given as, 
alpha equals 1 over R subscript 0 space fraction numerator d R over denominator d T end fraction

d R space equals space R subscript 0 d T space

alpha left parenthesis T right parenthesis space equals space left parenthesis 3 T squared space plus space 2 T space right parenthesis
S u b s t i t u t i n g space w e space g e t comma space

d R space equals space space R subscript 0 left parenthesis 3 T squared space plus space 2 T space right parenthesis d T

I n t e g r a t i n g space
integral subscript R subscript 0 end subscript superscript R space d R space equals space R subscript 0 left parenthesis 3 T squared space plus space 2 T space right parenthesis d T
R space minus space R subscript 0 space equals space R subscript 0 space left parenthesis T cubed space plus space T squared right parenthesis
R space equals space R subscript 0 space left parenthesis T cubed space plus space T squared right parenthesis plus space space R subscript 0 space equals space space R subscript 0 left parenthesis T cubed space plus space T squared plus 1 right parenthesis
 
Answered by Shiwani Sawant | 21 May, 2020, 02:00: PM

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