If the current in a circuit is halved, what happens to the power consumed by the

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Question: If the current in a circuit is halved, what happens to the power consumed by the circuit?

Options:

Correct Answer: It halves

Solution:

Power P = I^2 * R. If I is halved, P becomes (1/2)^2 * R = 1/4 * P, so the power is reduced to a quarter, which means it halves.

If the current in a circuit is halved, what happens to the power consumed by the circuit?

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.

Ohm's Law and Power Calculation – Understanding the relationship between current (I), resistance (R), and power (P) in electrical circuits.
Quadratic Relationships – Recognizing how changes in current affect power due to the square relationship in the power formula.