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Question

# 50 electric bulbs are connected in series across a 220 V supply and the illumination produced is I1. 5 bulbs are fused. If the remaining 45 are again connected in series, the illumination produced is I2. Which of the following is true?

A
I1=I2
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B
I1<I2
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C
I1>I2
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D
It will depend on the resistance of each bulb.
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Solution

## The correct option is A I1<I2Let resistance each bulb =RbTotal resistance of 50 bulbs in series =50Rb and total resistance of 45 bulbs in series =45Rb. Thus, resistance of 45 bulbs is less than of 50 bulbs.As illumination is proportional to the heat generated, H=(V2/R)t so illumination produced, I1<I2

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