If the current through a resistor is doubled, what happens to the power consumed

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Question: If the current through a resistor is doubled, what happens to the power consumed by the resistor?

Options:

Correct Answer: Increases by 4 times

Solution:

Power P = I^2 * R. If I is doubled, P becomes (2I)^2 * R = 4I^2 * R, which is 4 times the original power.

If the current through a resistor is doubled, what happens to the power consumed by the resistor?

If the current through a resistor is doubled, what happens to the power consumed by the resistor?

Correct Answer: Power becomes 4 times the original power.

Step 1: Understand the formula for power in a resistor, which is P = I^2 * R, where P is power, I is current, and R is resistance.
Step 2: Identify what happens when the current (I) is doubled. If I is doubled, it becomes 2I.
Step 3: Substitute 2I into the power formula: P = (2I)^2 * R.
Step 4: Calculate (2I)^2, which equals 4I^2.
Step 5: Now, substitute this back into the power formula: P = 4I^2 * R.
Step 6: Compare this new power (4I^2 * R) to the original power (I^2 * R).
Step 7: Notice that the new power is 4 times the original power, meaning if the current is doubled, the power consumed by the resistor increases by 4 times.

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