In the following figure, what will be the equivalent resistance b…

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MCQ

In the following figure, what will be the equivalent resistance between points $A$ and $B$ ?

A
$1 \Omega$
✓
$2 \Omega$
C
$4 \Omega$
D
$8 \Omega$

✓

Answer

Correct option: B.

$2 \Omega$

(B) $2 \Omega$
Hint: Here, resistors with resistances $R_1$ and $R_2$ are in parallel.
$
\therefore R^{\prime}=\frac{R_1 R_2}{R_1+R_2}=\frac{2 \times 2}{2+2}=1 \Omega
$
Also, resistors with resistances $R_3$ and $R_4$ are in parallel.
$
\therefore R^{\prime \prime}=\frac{R_3 R_4}{R_3+R_4}=\frac{2 \times 2}{2+2}=1 \Omega
$
The equivalent resistance of the resulting series combination will be
$
\begin{aligned}
R & =R^{\prime}+R^{\prime \prime} \\
& =1+1=2 \Omega
\end{aligned}
$

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