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Two heaters rated at 1000 W, 250V each are connected in series across a 250 V, 50 Hz ac mains. The total power drawn from the supply would be _____ watt.
- a)1000
- b)500
- c)250
- d)2000
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two heaters rated at 1000 W, 250V each are connected in series across ...
Total power drawn from the supply
P = VI = 250 × 2 = 500 W.
Most Upvoted Answer
Two heaters rated at 1000 W, 250V each are connected in series across ...
Calculation of Total Power Drawn
Formula: Total power drawn by the heaters in series can be calculated using the formula:
P = V2/R
where P is the power in watts, V is the voltage in volts, and R is the resistance in ohms.
Step-by-Step Solution:
Given:
- Two heaters rated at 1000 W, 250V each
- Connected in series across a 250 V, 50 Hz ac mains
1. Total voltage across the heaters in series = 250V + 250V = 500V
2. Total resistance of the heaters in series can be calculated using the formula:
Rtotal = R1 + R2
where R1 and R2 are the resistances of the heaters.
Resistance (R) can be calculated using the formula:
R = V2/P
where V is the voltage in volts and P is the power in watts.
R1 = 2502/1000 = 62.5 ohms
R2 = 2502/1000 = 62.5 ohms
Rtotal = 62.5 + 62.5 = 125 ohms
3. Total power drawn from the supply can be calculated using the formula:
P = V2/Rtotal = 2502/125 = 500 watts
Therefore, the total power drawn from the supply would be 500 watts.
Formula: Total power drawn by the heaters in series can be calculated using the formula:
P = V2/R
where P is the power in watts, V is the voltage in volts, and R is the resistance in ohms.
Step-by-Step Solution:
Given:
- Two heaters rated at 1000 W, 250V each
- Connected in series across a 250 V, 50 Hz ac mains
1. Total voltage across the heaters in series = 250V + 250V = 500V
2. Total resistance of the heaters in series can be calculated using the formula:
Rtotal = R1 + R2
where R1 and R2 are the resistances of the heaters.
Resistance (R) can be calculated using the formula:
R = V2/P
where V is the voltage in volts and P is the power in watts.
R1 = 2502/1000 = 62.5 ohms
R2 = 2502/1000 = 62.5 ohms
Rtotal = 62.5 + 62.5 = 125 ohms
3. Total power drawn from the supply can be calculated using the formula:
P = V2/Rtotal = 2502/125 = 500 watts
Therefore, the total power drawn from the supply would be 500 watts.
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