If the current through a conductor is doubled, what happens to the power dissipated in the conductor?

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Q: If the current through a conductor is doubled, what happens to the power dissipated in the conductor?

Solution: Power P = I^2 * R. If I is doubled, P becomes (2I)^2 * R = 4I^2 * R, which is quadrupled.

Steps: 7

Step 1: Understand that power (P) in a conductor is calculated using the formula P = I^2 * R, where I is the current and R is the resistance.
Step 2: Identify that if the current (I) is doubled, we can represent the new current as 2I.
Step 3: Substitute the new current (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 the new power (4I^2 * R) to the original power (I^2 * R). Notice that the new power is 4 times the original power.
Step 7: Conclude that if the current through a conductor is doubled, the power dissipated in the conductor is quadrupled.