Calculate the Resistance of a 24W LED Bulb Operating at 22V

Question:

What is the resistance of a 24W LED bulb that requires 22V to operate?

Answer:

The resistance of the 24W LED bulb operating at 22V is approximately 1.091Ω.

Explanation:

Ohm's Law: The resistance of an electrical component is equal to the voltage across it divided by the current flowing through it. In this case, we are given that the LED bulb has a power of 24W and requires 22V to operate.

Calculating Current: Using the power formula P = IV (power = current x voltage), we can find the current flowing through the bulb. Substituting the given values, we get:

24W = 22V x Current

Current = 24W / 22V ≈ 1.091A

Calculating Resistance: Now that we have the current flowing through the bulb, we can use Ohm's Law (R = V/I) to determine the resistance. Substituting the values, we get:

Resistance = 22V / 1.091A ≈ 20.13Ω

Therefore, the correct resistance of the 24W LED bulb operating at 22V is approximately 1.091Ω, making option b) R = 1.091Ω the correct answer.