An 230 V, 1-phase watt hour meter records a constant load of 10 A for 10 h at unity PF If the meter disc makes 2300 revolutions during this period, what is the meter constant in revolutions/kWh?

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  1. 400 rev/kWh
  2. 100 rev/kWh
  3. 200 rev/kWh
  4. 300 rev/kWh

Answer (Detailed Solution Below)

Option 2 : 100 rev/kWh
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Concept:

The meter constant (in revolutions per kWh) is calculated by dividing the number of disc revolutions by the total energy consumed (in kWh).

Formula:

\[ \text{Meter Constant} = \frac{\text{Number of revolutions}}{\text{Energy consumed (in kWh)}} \]

Given:

  • Voltage (V) = 230 V
  • Current (I) = 10 A
  • Time = 10 hours
  • Power Factor = 1 (Unity)
  • Revolutions = 2300

Calculation:

Power consumed = V × I × PF = 230 × 10 × 1 = 2300 W = 2.3 kW

Energy consumed = Power × Time = 2.3 kW × 10 h = 23 kWh

\[ \text{Meter Constant} = \frac{2300}{23} = 100 \text{ rev/kWh} \]

 

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