a) To calculate the power factor, we can use the formula:
Power factor = Real Power / Apparent Power
The real power can be calculated using the formula:
Real Power = Input Power x Efficiency
The input power can be calculated using the formula:
Input Power = Voltage x Current
Therefore, Real Power = 240V x 22.5A = 5400W
The apparent power can be calculated using the formula:
Apparent Power = Voltage x Current
Therefore, Apparent Power = 240V x 22.5A = 5400VA
Now we can calculate the power factor:
Power factor = Real Power / Apparent Power = 5400W / 5400VA = 1
Therefore, the power factor at which the motor is operating is 1.
b) To calculate the phase angle, we can use the formula:
Phase angle = arccos(Power factor)
Therefore, Phase angle = arccos(1) = 0°
Therefore, the phase angle at which the motor is operating is 0°.
A 3,5kW 240V single-phase motor draws 22,5A from the supply while operating at full load and efficiency of 90°. Calculate
a) The power factor at which the motor is operating
b) The phase angle at which the motor is operating
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