Consumption of 2300 W energy in 1 hour is measured with 230 revolutions of meter disc in an energy meter. Calculate the meter constant.

Concept

The number of revolutions made by the energy meter per kilowatt-hour is known as the meter constant of an energy meter.

It is represented by k.

\(k={No. \space of \space revolutions \space in \space 1\space hr \over Energy \space consumed \space in \space 1\space hr }\)

The energy consumed in time 't' is given by:

\(E=VIcosϕ × t\)

For t = 1 hr

\(E=VIcosϕ \)

where, V = Voltage

I = Current 

cosϕ = Power factor

Calculation

Given, Power consumption = 2300 W = 2.3 kW

Time = 1 hour

Energy consumed = 2.3 kWh

Number of revolutions = 230

\(k={230\over 2.3}\)

k = 100 rev/kWh