Q86 / 120 · VITEEE 2006 · Physics

Three resistances of values $2 \Omega, 3 \Omega$ and $6 \Omega$ are to be connected to produce an effective resistance of $4 \Omega$. This can be done by connecting

  • A
    $6 \Omega$ resistance in series with the parallel combination of $2 \Omega$ and $3 \Omega$
  • B
    $3 \Omega$ resistance in series with the parallel combination of $2 \Omega$ and $6 \Omega$
  • Correct answer
    C
    $2 \Omega$ resistance in series with the parallel combination of $3 \Omega$ and $6 \Omega$
  • D
    $2 \Omega$ resistance in parallel with the parallel combination of $3 \Omega$ and $6 \Omega$

Solution

Parallel combination of $3 \Omega$ and $6 \Omega$ gives effective resistance, $\mathrm{R}_{\mathrm{p}}=\frac{3 \times 6}{3+6}=\frac{18}{9}=2 \Omega$. This in series with $2 \Omega$ gives net ressistance as $4 \Omega$.

Hence, the correct answer is option: 'C'.

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