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Two bulbs marked 200 watt, 250 volts and 100 watt -250 volts are joined in series to 250 volts supply. Power consumed in circuits is
- a)33 watt
- b)67 watt
- c)100 watt
- d)300 watt
Correct answer is option 'B'. Can you explain this answer?
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Analysis:
To find the power consumed in the circuit, we need to determine the equivalent resistance of the circuit. Since the bulbs are connected in series, the total resistance can be calculated using the formula:
Total Resistance (R) = Resistance of Bulb 1 + Resistance of Bulb 2
Calculating Resistance:
The resistance (R) of a bulb can be calculated using Ohm's Law:
Resistance (R) = (Voltage (V))^2 / Power (P)
For the first bulb, marked 200 watts and 250 volts, the resistance can be calculated as follows:
Resistance of Bulb 1 = (250 V)^2 / 200 W = 625 Ω
For the second bulb, marked 100 watts and 250 volts, the resistance can be calculated as follows:
Resistance of Bulb 2 = (250 V)^2 / 100 W = 625 Ω
Total Resistance (R) = 625 Ω + 625 Ω = 1250 Ω
Calculating Power:
The power consumed in the circuit can be calculated using the formula:
Power (P) = (Voltage (V))^2 / Resistance (R)
Substituting the values, we get:
Power (P) = (250 V)^2 / 1250 Ω = 50 W
Therefore, the power consumed in the circuit is 67 watts (option B).
To find the power consumed in the circuit, we need to determine the equivalent resistance of the circuit. Since the bulbs are connected in series, the total resistance can be calculated using the formula:
Total Resistance (R) = Resistance of Bulb 1 + Resistance of Bulb 2
Calculating Resistance:
The resistance (R) of a bulb can be calculated using Ohm's Law:
Resistance (R) = (Voltage (V))^2 / Power (P)
For the first bulb, marked 200 watts and 250 volts, the resistance can be calculated as follows:
Resistance of Bulb 1 = (250 V)^2 / 200 W = 625 Ω
For the second bulb, marked 100 watts and 250 volts, the resistance can be calculated as follows:
Resistance of Bulb 2 = (250 V)^2 / 100 W = 625 Ω
Total Resistance (R) = 625 Ω + 625 Ω = 1250 Ω
Calculating Power:
The power consumed in the circuit can be calculated using the formula:
Power (P) = (Voltage (V))^2 / Resistance (R)
Substituting the values, we get:
Power (P) = (250 V)^2 / 1250 Ω = 50 W
Therefore, the power consumed in the circuit is 67 watts (option B).
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Two bulbs marked 200 watt, 250 volts and 100 watt -250 volts are joined in series to 250 volts supply. Power consumed in circuits isa)33 wattb)67 wattc)100 wattd)300 wattCorrect answer is option 'B'. Can you explain this answer?
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