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If two bulbs of wattages 25 and 100 respectively, each rated 220V are connected in series with the supply of 440V, which bulb will fuse first?
  • a)
    88 Volts.
  • b)
    81 Volts.
  • c)
    both
  • d)
    none
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If two bulbs of wattages 25 and 100 respectively, each rated 220V are ...
25 Watt bulb will fuse first. 

The resistance of each bulb can be calculated from power ratings and voltage ratings. 

Power = V*I = V(*V/R) =V^2/R. Therefore:
R = V^/Power.

Resistance of 25 Watt bulb:
R25 = 220*220/25 = =1936 Ohms
 
Resistance of 100 Watt bulb:
R100 = 220*220/100 = =484 Ohms
 
When they are connected in series with a supply of 440 V, resultant current will be: 
440 V/ (1936 +484) Ohms = 0.1819 Amperes. 
 
The voltage drop across 25 W bulb will be:
V25 =Current * R25
        = 0.1818*1936 = 352 Volts. Because of the excessive voltage (much higher than the rated voltage of 220 V), the bulb will fuse in a short time, in less than 1-2 seconds. 
 
Voltage across 100 Watt bulb can be calculated By subtracting 352 from 440 V, which comes to be 88 Volts. To cross check, let us calculate it by multiplication of current and resistance: 
 
Voltage drop across 100 W bulb will be”
V100 = Current * R100
           = 0.1818*484 = 88 Volts. 

100 Watt bulb will not fuse.
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If two bulbs of wattages 25 and 100 respectively, each rated 220V are connected in series with the supply of 440V, which bulb will fuse first?a)88 Volts.b)81Volts.c)bothd)noneCorrect answer is option 'A'. Can you explain this answer?
Question Description
If two bulbs of wattages 25 and 100 respectively, each rated 220V are connected in series with the supply of 440V, which bulb will fuse first?a)88 Volts.b)81Volts.c)bothd)noneCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If two bulbs of wattages 25 and 100 respectively, each rated 220V are connected in series with the supply of 440V, which bulb will fuse first?a)88 Volts.b)81Volts.c)bothd)noneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two bulbs of wattages 25 and 100 respectively, each rated 220V are connected in series with the supply of 440V, which bulb will fuse first?a)88 Volts.b)81Volts.c)bothd)noneCorrect answer is option 'A'. Can you explain this answer?.
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