MCQ
By using only two resistance coils-singly, in series, or in parallel one should be able to obtain resistances of $3$, $4$, $12$ and $16\, ohms$. The separate resistances of the coil are
  • A
    $3$ and $4$
  • $4$ and $12$
  • C
    $12$ and $16$
  • D
    $16$ and $3$

Answer

Correct option: B.
$4$ and $12$
b
When resistances $4\,\Omega $ and $12\,\Omega $ are connected in series $ = 4 + 12 = 16\,\Omega $

When these resistance are connected in parallel.

$\frac{1}{{{R_P}}} = \frac{1}{4} + \frac{1}{{12}}$   $ \Rightarrow \,\,\,{R_P} = \frac{{4 \times 12}}{{4 + 12}} = \frac{{4 \times 12}}{{16}} = 3\,\Omega $

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