Question

When two resistors of resistances \( (123 \pm 2) \, \Omega \) and \( (227 \pm 4) \, \Omega \) are connected in series, then the value of equivalent resistance is:

• A. \( (350 \pm 6) \, \Omega \)
• B. \( (350 \pm 1) \, \Omega \)
• C. \( (350 \pm 12) \, \Omega \)
• D. \( (350 \pm 3) \, \Omega \)

Hint:

In a series connection, the equivalent resistance is the sum of the individual resistances, and the uncertainty is the sum of their uncertainties.

Answer 1

The Correct Option is A

- When resistors are connected in series, their resistances add up. The equivalent resistance \( R_{eq} \) is given by: \[ R_{eq} = R_1 + R_2 = (123 \, \Omega + 227 \, \Omega) \pm (2 \, \Omega + 4 \, \Omega) = 350 \, \Omega \pm 6 \, \Omega \]
- The uncertainty in the resistance is the sum of the individual uncertainties, i.e., \( 2 + 4 = 6 \).