A) \[\frac{{{\rho }_{1}}+{{\rho }_{2}}}{2}\]
B) \[{{\rho }_{1}}+{{\rho }_{2}}\]
C) \[2\left( {{\rho }_{1}}+{{\rho }_{2}} \right)\]
D) \[\sqrt{{{\rho }_{1}}\,{{\rho }_{2}}}\]
Correct Answer: A
Solution :
The effective resistance of combined wire \[R={{R}_{1}}+{{R}_{2}}\] \[\rho \left( \frac{l+l}{A} \right)=\frac{{{\rho }_{1}}l}{A}+\frac{{{\rho }_{2}}l}{A}\] [\[\because \] total length\[L=l+l\]] or \[\rho =\frac{{{\rho }_{1}}+{{\rho }_{2}}}{2}\]
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