If the current in a circuit is halved, what happens to the power consumed by the circuit?
Correct Answer: Power is reduced to a quarter.
- Step 1: Understand that power (P) in a circuit can be calculated using the formula P = I^2 * R, where I is the current and R is the resistance.
- Step 2: If the current (I) is halved, it means we change I to I/2.
- Step 3: Substitute I/2 into the power formula: P = (I/2)^2 * R.
- Step 4: Calculate (I/2)^2, which is (I^2 / 4).
- Step 5: Now, replace P in the formula: P = (I^2 / 4) * R.
- Step 6: Notice that this is equal to (1/4) * (I^2 * R), which is (1/4) * P (the original power).
- Step 7: This means the new power is one-fourth of the original power, so the power is reduced to a quarter.
No concepts available.
