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In a circuit, if the current is doubled while the resistance remains constant, w
Practice Questions
Q1
In a circuit, if the current is doubled while the resistance remains constant, what happens to the power? (2020)
It doubles
It quadruples
It remains the same
It halves
Questions & Step-by-Step Solutions
In a circuit, if the current is doubled while the resistance remains constant, what happens to the power? (2020)
Steps
Concepts
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.
No concepts available.
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