<h3><u>Answer</u>;</h3>
= 2493 W
<h3><u>Explanation</u>;</h3>
The total resistance of 3 resistors in series = R + R + R = 3 * R
The total resistance of 3 resistors in parallel = 1 ÷ (1/R + 1/R + 1/R) = ⅓ R
At the same voltage, V, the total current in the series circuit will be
= V ÷ (3 * R)
= ⅓ * V/R.
At the same voltage, V, the total current in the parallel circuit will be;
= V ÷ (⅓ R)
= 3 * V/R
At the same voltage, the parallel circuit will have 9 times the amperage of the series circuit.
Power = Volts * amps
Power of series circuit = V * ⅓ * V/R = ⅓ * V^2/R
Power of parallel circuit = 3 * V^2/R
But, power of series is 277 W
1/3 (V²/R) = 277
(V²/R) = 277 × 3
Power in parallel = 3 V²/R
= 277 × 3 × 3
<u> = 2493 W</u>