What is the power consumed by a 100Ω resistor when a current of 0.5A flows throu

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Question: What is the power consumed by a 100Ω resistor when a current of 0.5A flows through it? (2020)

Options:

Correct Answer: 25W

Exam Year: 2020

Solution:

Power (P) is given by P = I^2R = (0.5A)^2 * 100Ω = 0.25 * 100 = 25W.

What is the power consumed by a 100Ω resistor when a current of 0.5A flows through it? (2020)

What is the power consumed by a 100Ω resistor when a current of 0.5A flows through it? (2020)

Step 1: Identify the values given in the problem. We have a resistor with a resistance (R) of 100 ohms (Ω) and a current (I) of 0.5 amperes (A).
Step 2: Recall the formula for power (P) in terms of current and resistance, which is P = I^2 * R.
Step 3: Substitute the value of current (I = 0.5A) into the formula. This gives us P = (0.5A)^2 * R.
Step 4: Calculate (0.5A)^2. This equals 0.25A^2.
Step 5: Now multiply 0.25A^2 by the resistance (R = 100Ω). So, P = 0.25 * 100.
Step 6: Perform the multiplication: 0.25 * 100 = 25.
Step 7: Conclude that the power consumed by the resistor is 25 watts (W).

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