In a circuit, if the current is doubled while the resistance remains constant, w

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Question: In a circuit, if the current is doubled while the resistance remains constant, what happens to the power? (2020)

Options:

Correct Answer: It quadruples

Exam Year: 2020

Solution:

Power is given by P = I²R. If I is doubled, P becomes (2I)²R = 4I²R, which is quadrupled.

In a circuit, if the current is doubled while the resistance remains constant, what happens to the power? (2020)

In a circuit, if the current is doubled while the resistance remains constant, what happens to the power? (2020)

Step 1: Understand the formula for power in a circuit, which is P = I²R, where P is power, I is current, and R is resistance.
Step 2: Identify that in this scenario, the resistance (R) remains constant.
Step 3: Note that the current (I) is doubled, so we can express the new current as 2I.
Step 4: Substitute the new current into the power formula: P = (2I)²R.
Step 5: Calculate (2I)², which equals 4I².
Step 6: Now, substitute this back into the power formula: P = 4I²R.
Step 7: Compare the new power (4I²R) to the original power (I²R).
Step 8: Conclude that the new power is four times the original power, meaning the power is quadrupled.

Ohm's Law and Power Calculation – Understanding the relationship between current (I), resistance (R), and power (P) in electrical circuits.