Question

The resistors 2\(\Omega\), 4\(\Omega\) and 6\(\Omega\) are connected in series. The equivalent resistance is:

• A. 12 \(\Omega\)
• B. 10 \(\Omega\)
• C. 8 \(\Omega\)
• D. 6 \(\Omega\)

Hint:

For resistors in series, simply add their resistances to find the total resistance.

Answer 1

The Correct Option is A

Step 1: Formula for series resistors.
When resistors are connected in series, the equivalent resistance (\(R_{\text{eq}}\)) is the sum of the individual resistances: \[ R_{\text{eq}} = R_1 + R_2 + R_3 \] where \(R_1 = 2 \, \Omega\), \(R_2 = 4 \, \Omega\), and \(R_3 = 6 \, \Omega\). Step 2: Calculate the total resistance. \[ R_{\text{eq}} = 2 + 4 + 6 = 12 \, \Omega \] Step 3: Conclusion.
Thus, the equivalent resistance of the resistors connected in series is 12 \(\Omega\).