Two wires of resistance R1 and R2 have temperature coefficient of resistance $${{\alpha }_{1}}\text{ and }{{\alpha }_{2}}$$, respectively. These are joined in series. The effective temperature coefficient of resistance is [MP PET 2003]

Question

Two wires of resistance R1 and R2 have temperature coefficient of resistance $${{\alpha }_{1}}\text{ and }{{\alpha }_{2}}$$, respectively.  These are joined in series.  The effective temperature coefficient of resistance is    [MP PET 2003]

TuteeHUB · Accepted Answer

$$\frac{\sqrt{{{R}_{1}}{{R}_{2}}{{\alpha }_{1}}{{\alpha }_{2}}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}$$

TuteeHUB · Answer

$$\frac{{{\alpha }_{1}}+{{\alpha }_{2}}}{2}$$

TuteeHUB · Answer

$$\sqrt{{{\alpha }_{1}}{{\alpha }_{2}}}$$

TuteeHUB · Answer

0.03

TuteeHUB · Answer

$$\frac{\sqrt{{{R}_{1}}{{R}_{2}}{{\alpha }_{1}}{{\alpha }_{2}}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}$$

1.	Two wires of resistance R1 and R2 have temperature coefficient of resistance \[{{\alpha }_{1}}\text{ and }{{\alpha }_{2}}\], respectively. These are joined in series. The effective temperature coefficient of resistance is [MP PET 2003]
A.	\[\frac{{{\alpha }_{1}}+{{\alpha }_{2}}}{2}\]
B.	\[\sqrt{{{\alpha }_{1}}{{\alpha }_{2}}}\]
C.	0.03
D.	\[\frac{\sqrt{{{R}_{1}}{{R}_{2}}{{\alpha }_{1}}{{\alpha }_{2}}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\]
Answer» D. \[\frac{\sqrt{{{R}_{1}}{{R}_{2}}{{\alpha }_{1}}{{\alpha }_{2}}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\]

Two wires of resistance R1 and R2 have temperature coefficient of resistance \[{{\alpha }_{1}}\text{ and }{{\alpha }_{2}}\], respectively. These are joined in series. The effective temperature coefficient of resistance is [MP PET 2003]

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