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The declared constant of a 5 A, 220 V d.c. watthour meter is 3275 revolutions per kWh. The speed of the disc at full load is
- a)8 rps
- b)3 rps
- c)1 rps
- d)2 rps
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The declared constant of a 5 A, 220 V d.c. watthour meter is 3275 revo...
Here, cos φ = 1 (for d.c. watthour meter) Energy supplied to the energy meter in kWh
∴ Energy supplied to the energy meter per minute =
Given, energy meter constant, K = 3275 revolutions/kWh
∴ Disc speed in rpm = Energy supplied per minute x Energy meter constant
∴ Energy supplied to the energy meter per minute =
Given, energy meter constant, K = 3275 revolutions/kWh
∴ Disc speed in rpm = Energy supplied per minute x Energy meter constant
Most Upvoted Answer
The declared constant of a 5 A, 220 V d.c. watthour meter is 3275 revo...
Given Information:
- Constant of the watthour meter = 3275 revolutions/kWh
- Current (I) = 5 A
- Voltage (V) = 220 V
To Find:
The speed of the disc at full load.
Formula:
The number of revolutions made by the disc in one hour (N) can be calculated using the formula:
N = (P × 3600) / (V × I)
Where,
P = Power in watts
V = Voltage in volts
I = Current in amperes
Explanation:
The constant of the watthour meter represents the number of revolutions made by the disc for one kWh of energy consumed. To calculate the speed of the disc at full load, we need to determine the power consumed at full load.
Step 1: Calculate Power (P) at Full Load
P = V × I
= 220 V × 5 A
= 1100 W
Step 2: Calculate Number of Revolutions (N) at Full Load
N = (P × 3600) / (V × I)
= (1100 W × 3600 s) / (220 V × 5 A)
= 1980000 / 1100
= 1800 revolutions
Step 3: Calculate Speed of the Disc at Full Load
The speed of the disc is measured in revolutions per second. To convert revolutions per hour to revolutions per second, we divide by 3600.
Speed = 1800 / 3600
= 0.5 revolutions per second
Conclusion:
The speed of the disc at full load is 0.5 revolutions per second, which is equivalent to 1 rps (option C).
- Constant of the watthour meter = 3275 revolutions/kWh
- Current (I) = 5 A
- Voltage (V) = 220 V
To Find:
The speed of the disc at full load.
Formula:
The number of revolutions made by the disc in one hour (N) can be calculated using the formula:
N = (P × 3600) / (V × I)
Where,
P = Power in watts
V = Voltage in volts
I = Current in amperes
Explanation:
The constant of the watthour meter represents the number of revolutions made by the disc for one kWh of energy consumed. To calculate the speed of the disc at full load, we need to determine the power consumed at full load.
Step 1: Calculate Power (P) at Full Load
P = V × I
= 220 V × 5 A
= 1100 W
Step 2: Calculate Number of Revolutions (N) at Full Load
N = (P × 3600) / (V × I)
= (1100 W × 3600 s) / (220 V × 5 A)
= 1980000 / 1100
= 1800 revolutions
Step 3: Calculate Speed of the Disc at Full Load
The speed of the disc is measured in revolutions per second. To convert revolutions per hour to revolutions per second, we divide by 3600.
Speed = 1800 / 3600
= 0.5 revolutions per second
Conclusion:
The speed of the disc at full load is 0.5 revolutions per second, which is equivalent to 1 rps (option C).
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The declared constant of a 5 A, 220 V d.c. watthour meter is 3275 revolutions per kWh. The speed of the disc at full load isa)8 rpsb)3 rpsc)1 rpsd)2 rpsCorrect answer is option 'C'. Can you explain this answer?
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