Answer:
Correct answer: P₂ = 25 W
Explanation:
Given: voltage V₁ = 220 V, power P₁ = 100 W, V₂ = 110 V, P₂ = ?
The formula for calculating power is:
P = V · I
We will include in the story and ohm's law:
I = V/R
We will replace the current in the expression for power
P = V · V/R = V²/R ⇒ R = V²/P
We will first calculate the electrical resistance of the bulb which is a constant in the electrical circuit
R = V₁²/P₁ = 220²/ 100 = 48,400 / 100 = 484 Ω
Power consumption of bulb connected to 110 V is:
P₂ = V₂²/R = 110²/484 = 12,100/484 = 25 W
P₂ = 25 W
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