Current Electricity Charging Discharging Of Capacitors Question 461

Question: If two bulbs of wattage 25 and 100 respectively each rated at 220 volt are connected in series with the supply of 440 volt, then which bulbs will fuse

[MNR 1988]

Options:

A) 100 watt bulb

B) 25 watt bulb

C) None of them

D) Both of them

Show Answer

Answer:

Correct Answer: B

Solution:

Resistance of 25 W bulb $ =\frac{220\times 220}{25}=1936,\Omega $ Its safe current $ =\frac{220}{1936}=0.11amp. $ Resistance of 100 W bulb $ =\frac{220\times 220}{100}=484,\Omega $ Its safe current $ =\frac{220}{484}=0.48amp. $ When connected in series to 440 V supply, then the current $ I=\frac{440}{(1936+484)}=0.18,amp. $ Thus current is greater for 25 W bulb, so it will fuse.