An electric bulb is rated 220 V and 100 W. When it is operated at 110 V, the power consumed will be:
Question
An electric bulb is rated 220 V and 100 W. When it is operated at 110 V, the power consumed will be:
Solution
The power P of an electrical device is given by the formula P = V^2/R, where V is the voltage and R is the resistance.
Step 1: Find the resistance of the bulb when it is operated at 220V and 100W. Rearrange the formula to R = V^2/P. Substituting the given values, we get R = (220^2)/100 = 484 ohms.
Step 2: Now, we need to find the power consumed when the bulb is operated at 110V. We use the same formula P = V^2/R. Substituting the values, we get P = (110^2)/484 = 25W.
So, when the bulb is operated at 110V, the power consumed will be 25W.
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