A) \[4\Omega ,\,2\Omega \]
B) \[4\Omega ,\,6\Omega \]
C) \[6\Omega ,\,2\Omega \]
D) \[8\Omega ,\,1\Omega \]
Correct Answer: A
Solution :
: Let \[{{R}_{1}}\] and \[{{R}_{2}}\] be two resistors. When they are connected in series, their equivalent resistance is \[{{R}_{s}}={{R}_{1}}+{{R}_{2}}=6\Omega \] ...(i) When they are connected in parallel, their equivalent resistance is \[{{R}_{p}}=\frac{{{R}_{1}}{{R}_{2}}}{{{R}_{1}}+{{R}_{2}}}=\frac{4}{3}\Omega \] ?..(ii) On solving eqns. (i) and (ii), we get \[{{R}_{1}}=2\Omega \] and \[{{R}_{2}}=4\Omega \]
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