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Q.

If three bulbs of ratings ( 40 W, 200 V) , ( 60 W , 200 V) and ( 100 W , 200 V) are connected in series with a 200 V power supply, then

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a

the potential difference will be maximum across 40 W bulb

b

the current will be maximum through 100 W bulb

c

the 40 W bulb has the minimum resistance

d

the current in the circuit is 0.197 amp

answer is A.

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Detailed Solution

We know that R=V2/W
 Resistance of 40 W bulb
=200×20040=1000Ω
Resistance of 60 W bulb
=200×20060=6667Ω
Resistance of 100 w bulb
=200×200100=400Ω
Total resistance of the circuit
=1000+6667+400=20667Ω
Current in the circuit
=20020667=0097amp
As the bulbs are connected in series and hence the same current (0.097 amp.) flows through each bulb. The potential difference is expressed by V = iR. So, the potential difference across 40 W bulb would be maximum because its resistance is highest and current through all bulbs is the same.

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