If a circuit has a resistance of 12Ω and a current of 3A, what is the power cons

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Question: If a circuit has a resistance of 12Ω and a current of 3A, what is the power consumed in the circuit? (2022)

Options:

Correct Answer: 36W

Exam Year: 2022

Solution:

Power (P) can be calculated using the formula P = I^2 * R = (3A)^2 * 12Ω = 36W.

If a circuit has a resistance of 12Ω and a current of 3A, what is the power consumed in the circuit? (2022)

If a circuit has a resistance of 12Ω and a current of 3A, what is the power consumed in the circuit? (2022)

Step 1: Identify the values given in the question. We have resistance (R) = 12Ω and current (I) = 3A.
Step 2: Recall the formula for power (P) in a circuit, which is P = I^2 * R.
Step 3: Substitute the value of current (I) into the formula. Here, I = 3A, so we calculate (3A)^2.
Step 4: Calculate (3A)^2, which is 3 * 3 = 9.
Step 5: Now, multiply the result from Step 4 by the resistance (R). So, we calculate 9 * 12Ω.
Step 6: Perform the multiplication: 9 * 12 = 108.
Step 7: The power consumed in the circuit is 108W.

Ohm's Law and Power Calculation – Understanding the relationship between voltage, current, resistance, and power in electrical circuits.