Question

Two resistors of \(4\, \Omega\) and \(6\, \Omega\) are connected in parallel. What is the equivalent resistance?

• A. \(2.4\, \Omega\)
• B. \(5\, \Omega\)
• C. \(100\, \Omega\)
• D. \(3\, \Omega\)

Hint:

To find the equivalent resistance of two resistors in parallel, use the shortcut: \[ R_{\text{eq}} = \frac{R_1 R_2}{R_1 + R_2} \quad \Rightarrow \quad \frac{4 \times 6}{4 + 6} = \frac{24}{10} = 2.4\,\Omega \]

Answer 1

The Correct Option is A

Step 1: Use the formula for two resistors in parallel \[ R_{\text{eq}} = \frac{R_1 R_2}{R_1 + R_2} \] Step 2: Substitute the given values \[ R_{\text{eq}} = \frac{4 \times 6}{4 + 6} = \frac{24}{10} = 2.4\, \Omega \]