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20 July, 03:15

why can we use P=VI in the question electric bulb base generator is rated 220 volts and 100W when it is operated on 110v what will be its power consumed?

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  1. 20 July, 06:06
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    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

    God is with you!
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