What is the power dissipated in a 10Ω resistor carrying a current of 2A?

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Question: What is the power dissipated in a 10Ω resistor carrying a current of 2A?

Options:

Correct Answer: 20W

Solution:

Power P = I^2 * R = (2A)^2 * 10Ω = 4 * 10 = 40W.

What is the power dissipated in a 10Ω resistor carrying a current of 2A?

What is the power dissipated in a 10Ω resistor carrying a current of 2A?

Step 1: Identify the values given in the question. We have a resistor with a resistance of 10 ohms (Ω) and a current of 2 amperes (A).
Step 2: Recall the formula for power (P) in a resistor, which is P = I^2 * R.
Step 3: Substitute the current (I) and resistance (R) into the formula. Here, I = 2A and R = 10Ω.
Step 4: Calculate I^2. This means multiplying the current by itself: (2A) * (2A) = 4A^2.
Step 5: Now multiply the result from Step 4 by the resistance: 4A^2 * 10Ω.
Step 6: Perform the multiplication: 4 * 10 = 40.
Step 7: The final answer is that the power dissipated in the resistor is 40 watts (W).

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