Power dissipation follows P = V²/R

Steps:

• Original power: P = E²/R.
• Option A: New power = (2E)²/R = 4P (triples the original).
• Option B: New power = E²/(2R) = 0.5P (halves the original).
• Option C: New power = (E/2)²/R = 0.25P (quarters the original).
• Option D: New power = E²/(R/2) = 2P (doubles the original).

Why A is correct:

• Power P = V²/R; doubling voltage V quadruples power due to the square in the formula.

Why the others are wrong:

• B: Doubling R halves power, as P is inversely proportional to R.
• C: Halving E quarters power, as P is proportional to E squared.
• D: Halving R doubles power, but this is less than the quadrupling from A.

Final answer: A