Question

Two wires of resistances $R_1$ and $R_2$ are joined in parallel. Their equivalent resistance will be:

• A. $(R_1 + R_2)$.
• B. $(R_1 \times R_2)$.
• C. $\frac{R_1 \times R_2}{R_1 + R_2}$.
• D. $\frac{R_1 + R_2}{R_1 \times R_2}$.

Hint:

In a parallel circuit, the total resistance is always less than the smallest individual resistance.

Answer 1

The Correct Option is C

For resistors in parallel, the equivalent resistance formula is: \[ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} \] which simplifies to: \[ R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} \]