Light Bulb Resistance Comparison

Which light bulb has the larger resistance?

A 60-W light bulb and a 100-W light bulb are both rated at 120 V. Which light bulb has the larger resistance? the 60-W bulb, 60 watt bulb becuse it is resisting from going any higher

Answer:

The 60-W light bulb has a larger resistance compared to the 100-W light bulb. This is due to the fact that resistance is inversely proportional to power (P) and directly proportional to the square of the current (I) passing through the bulb, according to Ohm's Law (R = V^2 / P).

When comparing two light bulbs with the same voltage rating of 120 V, but different power ratings of 60 W and 100 W, the 60-W light bulb will have a higher resistance. The reason behind this lies in Ohm's Law, which states that the resistance (R) of a component is equal to the voltage (V) across the component squared, divided by the power (P) dissipated by the component (R = V^2 / P).

In this case, since both light bulbs operate at the same voltage of 120 V, the bulb with the lower power rating of 60 W will have a higher resistance compared to the bulb with the higher power rating of 100 W. The 60-W bulb will draw less current due to its lower power consumption, resulting in a higher resistance to the flow of electric current.

Therefore, the 60-W light bulb has a larger resistance than the 100-W light bulb when both are rated at 120 V.