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Two 100 W, 220 V bulbs are required to be connected across a 400 volts supply. The value of resistance to be inserted in the line so that the voltage across the bulbs does not exceed 220 V is
  • a)
    198 Ω
  • b)
    0 Ω
  • c)
    125.5 Ω
  • d)
    76.2 Ω
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two 100 W, 220 V bulbs are required to be connected across a 400 volts...
Total power drawn from the circuit = 2 x 100 = 200 W 
Hence, supply current is
Let R be the series resistance to be inserted in the circuit such that the voltage across the bulbs is 220 V.
Applying KVL, we get
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Most Upvoted Answer
Two 100 W, 220 V bulbs are required to be connected across a 400 volts...
To find the value of resistance to be inserted in the line, we can use the formula:

Resistance = (Voltage Difference)² / Power

First, let's calculate the power of each bulb using the formula:

Power = Voltage * Current

Since we know the power and voltage of each bulb, we can find the current:

100 W = 220 V * Current
Current = 100 W / 220 V
Current = 0.4545 A

Now, let's calculate the total power required for both bulbs:

Total Power = 2 * Power of one bulb
Total Power = 2 * 100 W
Total Power = 200 W

Next, let's calculate the voltage difference across the bulbs:

Voltage Difference = Supply Voltage - Voltage across the bulbs
Voltage Difference = 400 V - 220 V
Voltage Difference = 180 V

Finally, we can calculate the resistance to be inserted in the line:

Resistance = (Voltage Difference)² / Total Power
Resistance = (180 V)² / 200 W
Resistance = 32400 V² / 200 W
Resistance = 162 Ω

Therefore, the value of resistance to be inserted in the line so that the voltage across the bulbs does not exceed 220 V is 162 Ω.
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Two 100 W, 220 V bulbs are required to be connected across a 400 volts supply. The value of resistance to be inserted in the line so that the voltage across the bulbs does not exceed 220 V isa)198Ωb)0Ωc)125.5Ωd)76.2 ΩCorrect answer is option 'A'. Can you explain this answer?
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