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Asked by shrutikiran2000 | 21st May, 2020, 03:05: AM

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 | 21st May, 2020, 02:00: PM