A) \[0.67\Omega \]
B) \[2\Omega \]
C) \[3\Omega \]
D) \[6\Omega \]
Correct Answer: B
Solution :
[b] Three resistances each of resistance \[2\Omega \] cannot produce a resistance equivalent to the individual resistance, when in parallel their equivalent resistance is \[\frac{2}{3}=0.67\Omega \] In series, the effective resistance \[=\left( 3\times 2 \right)\Omega =6\Omega \] In case two resistances are in parallel and the combination is in series with the third resistance, the equivalent resistance is given by, \[\left( \frac{2\times 2}{2+2}+2 \right)\Omega \] \[=(1+2)\Omega \] \[=3\Omega \]
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