An electric bulb is rated 220, V and 100, W. | vedclass

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Question

(A) The power consumed by an electrical appliance is given by the formula $P = \frac{V^2}{R}$.First,we calculate the resistance $R$ of the bulb using

Vedclass · Accepted Answer

$25$

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(A) The power consumed by an electrical appliance is given by the formula $P = \frac{V^2}{R}$.First,we calculate the resistance $R$ of the bulb using its rated values:$R = \frac{V^2}{P} = \frac{(220)^2}{100} = \frac{48400}{100} = 484\, \Omega$.The resistance of the bulb remains constant regardless of the operating voltage.Now,when the bulb is operated at a new voltage $V' = 110\, V$,the new power consumed $P'$ is:$P' = \frac{(V')^2}{R} = \frac{(110)^2}{484} = \frac{12100}{484} = 25\, W$.Therefore,the power consumed will be $25\, W$.

An electric bulb is rated $220\, V$ and $100\, W$. When it is operated on $110\, V$,the power consumed will be ....... $W$.

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