What is the power consumed by a 6Ω resistor when a current of 3A flows through i

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Question: What is the power consumed by a 6Ω resistor when a current of 3A flows through it? (2021)

Options:

Correct Answer: 18W

Exam Year: 2021

Solution:

Power (P) is given by P = I^2 * R = (3A)^2 * 6Ω = 9 * 6 = 54W.

What is the power consumed by a 6Ω resistor when a current of 3A flows through it? (2021)

What is the power consumed by a 6Ω resistor when a current of 3A flows through it? (2021)

Step 1: Identify the values given in the problem. We have a resistor with a resistance of 6 ohms (Ω) and a current of 3 amperes (A) flowing through it.
Step 2: Recall the formula for power (P) in a resistor, which is P = I^2 * R, where I is the current and R is the resistance.
Step 3: Substitute the values into the formula. Here, I = 3A and R = 6Ω.
Step 4: Calculate I^2. This means multiplying the current by itself: (3A) * (3A) = 9A^2.
Step 5: Now multiply the result from Step 4 by the resistance: 9A^2 * 6Ω = 54W.
Step 6: The final answer is that the power consumed by the resistor is 54 watts (W).

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