Two wires of equal diameters, of resistivities $${{\rho }_{1}}$$and $${{\rho }_{2}}$$ and lengths l1 and l2, respectively, are joined in series. The equivalent resistivity of the combination is [EAMCET (Engg.) 2000]

Question

Two wires of equal diameters, of resistivities $${{\rho }_{1}}$$and $${{\rho }_{2}}$$ and lengths l1 and l2, respectively, are joined in series.  The equivalent resistivity of the combination is                                                                                [EAMCET (Engg.) 2000]

TuteeHUB · Accepted Answer

$$\frac{{{\rho }_{1}}{{l}_{2}}+{{\rho }_{2}}{{l}_{1}}}{{{l}_{1}}-{{l}_{2}}}$$

TuteeHUB · Answer

$$\frac{{{\rho }_{1}}{{l}_{1}}+{{\rho }_{2}}{{l}_{2}}}{{{l}_{1}}+{{l}_{2}}}$$

TuteeHUB · Answer

$$\frac{{{\rho }_{1}}{{l}_{2}}+{{\rho }_{2}}{{l}_{1}}}{{{l}_{1}}+{{l}_{2}}}$$

TuteeHUB · Answer

$$\frac{{{\rho }_{1}}{{l}_{1}}-{{\rho }_{2}}{{l}_{2}}}{{{l}_{1}}-{{l}_{2}}}$$

1.	Two wires of equal diameters, of resistivities \[{{\rho }_{1}}\]and \[{{\rho }_{2}}\] and lengths l1 and l2, respectively, are joined in series. The equivalent resistivity of the combination is [EAMCET (Engg.) 2000]
A.	\[\frac{{{\rho }_{1}}{{l}_{1}}+{{\rho }_{2}}{{l}_{2}}}{{{l}_{1}}+{{l}_{2}}}\]
B.	\[\frac{{{\rho }_{1}}{{l}_{2}}+{{\rho }_{2}}{{l}_{1}}}{{{l}_{1}}-{{l}_{2}}}\]
C.	\[\frac{{{\rho }_{1}}{{l}_{2}}+{{\rho }_{2}}{{l}_{1}}}{{{l}_{1}}+{{l}_{2}}}\]
D.	\[\frac{{{\rho }_{1}}{{l}_{1}}-{{\rho }_{2}}{{l}_{2}}}{{{l}_{1}}-{{l}_{2}}}\]
Answer» B. \[\frac{{{\rho }_{1}}{{l}_{2}}+{{\rho }_{2}}{{l}_{1}}}{{{l}_{1}}-{{l}_{2}}}\]

Two wires of equal diameters, of resistivities \[{{\rho }_{1}}\]and \[{{\rho }_{2}}\] and lengths l1 and l2, respectively, are joined in series. The equivalent resistivity of the combination is [EAMCET (Engg.) 2000]

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