Answer & Solution
Answer: Option D
Solution:
To determine which resistor will overheat, we need to calculate the power dissipated in each resistor and compare it with their power rating (0.5 watts).
Using the power formula: P = V² / R
For the 33 Ω resistor: P = (12)² / 33 = 144 / 33 ≈ 4.36 watts
This is much greater than 0.5 watts, so the 33 Ω resistor will overheat.
For the 330 Ω resistor: P = (12)² / 330 = 144 / 330 ≈ 0.436 watts
This is less than 0.5 watts, so the 330 Ω resistor will NOT overheat.
Conclusion: Only the 33 Ω resistor will overheat.