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Question -

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



Answer -

(a) 100 W                               (b) 75 W
(c) 50 W                                 (d) 25 W

Answer
 25 W
Explanation:
The energy consumed by the appliance is given by the expression
P = VI = V2/R
The resistance of the light bulb can be calculated as follows:
R = V2/P
Substituting the values, we get
R = (220)2/100 = 484 Ω
Even if the supply voltage is reduced, the resistance remains the same. Hence, the power consumed can be calculated as follows:
P = V2/R
Substituting the value, we get
P = (110)2 V/484 Ω = 25 W
Therefore, the power consumed when the electric bulb operates at 110 V is 25 W.

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