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To accurately answer the question about the power factor given an output watt of 90, additional information is required. The power factor is a measure of the efficiency of electrical power usage, defined as the ratio of real power (measured in watts) flowing to the load to the apparent power (in volt-amperes) in the circuit. It is a dimensionless number that ranges between 0 and 1.
The formula to find the power factor (PF) is:
[PF = frac{P}{VA}]
Where:
– (PF) is the power factor,
– (P) is the real power in watts,
– (VA) is the apparent power in volt-amperes.
Given only the real power (output watt of 90), the apparent power (VA) or the phase angle between the current and voltage (which can also be used to calculate the power factor when the sin or cos of the angle is known) must be known to calculate the power factor.
Thus, with only the information that the output is 90 watts, the power factor cannot be determined without knowing the apparent power or the phase angle between the current and voltage.
b
Explanation: The power factor of output watt of 37 is 0.46 and the power factor for 180
output watt is 0.56. The power factor of the output watt of 90 is 0.51.