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)
  1. It doubles
  2. It quadruples
  3. It remains the same
  4. 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)
  • 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.
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