Two resistors, each of \( 2\,\Omega \), are connected in parallel. What is the effective resistance of the combination?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \( 1\,\Omega \)
Resistors in parallel have the same potential difference across them, and the currents add. So the reciprocal of the equivalent resistance is the sum of the reciprocals of the individual resistances.
\( \begin{aligned} \frac{1}{R_{\mathrm{eq}}} &= \frac{1}{R_1}+\frac{1}{R_2} \\ &= \frac{1}{2\,\Omega}+\frac{1}{2\,\Omega} \\ &= 1\,\Omega^{-1} \end{aligned} \)
\( \Rightarrow\; R_{\mathrm{eq}}=1\,\Omega \)