Question

If you are provided three resistances $2\Omega ,3\Omega$ and $6\Omega$. How will you connect them, so as to obtain the equivalent resistance of $4\Omega .$ ?

• A.
• B.
• C.
• D. None of these

Answer 1

Answer: (C)

In the given question in option (c),
$3\Omega$ . and $6\Omega$ resistances are in parallel,
hence equivalent resistance is
$\frac{1}{R}=\frac{1}{6}+\frac{1}{3}=\frac{9}{18}$
$\Rightarrow$ $R=2\Omega <br/>$ The two $2\Omega$ . resistances are now connected in series,
hence equivalent resistance is
$R=2\Omega +2\Omega =4\Omega$
Note: The value of the equivalent resistance of the resistances connected in parallel is less than the value of the smallest resistance among those resistances.