Two wires of resistances R1 and R2 have temperature coefficient of resistances α1 and α2 respectively. These are joined in series. The effective temperature coefficient of resistance is :\[\frac{\alpha_{1}+\alpha_{2}}{2}\]
\[\sqrt{\alpha_{1}\alpha_{2}}\]
\[\frac{\alpha_{1}R_{1}+\alpha_{2}R_{2}}{R_{1}+R_{2}}\]
\[\frac{\sqrt{R_{1}R_{2}\alpha_{1}\alpha_{2}}}{\sqrt{R_{1}^{2}R_{2}^{2}}}\]
Solution:
When two resistors with resistances and
and temperature coefficients of resistance and are connected in series, the effective temperature coefficient of resistance
is given by the formula:
This formula takes into account the individual resistances and temperature coefficients of the two wires, considering that their total resistance is the sum of the individual resistances.
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