What is value of power factor if = 90a)0b)0.5c)1d)infiniteCorrect answer is option 'A'. Can you explain this answer?

Question

What is value of power factor if  = 90a)0b)0.5c)1d)infiniteCorrect answer is option 'A'. Can you explain this answer?

Answer

Answer

Power factor = cos(angle ) that is in this case 90 so cos90 is zero

Answer

P=Irms Vrms cos phi
phi=90
cos phi=0
P=0

Answer

P=I_rms V_rms cos ϕ
Where, ϕ=90
cosϕ=0
therefore,P=0
hence the correct answer is option A.

Answer

The power factor is a measure of how efficiently electrical power is being consumed by a load. It is defined as the ratio of the real power (P) to the apparent power (S). The power factor can range from 0 to 1, with a value of 1 representing a purely resistive load and a value of 0 representing a purely reactive load.

In this question, the power factor is given as 90°. To understand why the correct answer is option 'A' (0), let's break down the concept of power factor and its relation to the phase angle.

Real Power (P): Real power is the actual power that is consumed by a load and converted into useful work. It is measured in watts (W).

Apparent Power (S): Apparent power is the product of the voltage (V) and current (I) in an AC circuit. It represents the total power in the circuit, including both the real power and reactive power. It is measured in volt-amperes (VA).

Reactive Power (Q): Reactive power is the power that is not converted into useful work but instead cycles back and forth between the source and the load. It is caused by the presence of inductive or capacitive elements in the circuit and is measured in volt-amperes reactive (VAR).

Phase Angle (θ): The phase angle represents the phase difference between the voltage and current waveforms in an AC circuit. It is measured in degrees (°) or radians (rad). A positive phase angle indicates a lagging current, while a negative phase angle indicates a leading current.

Now, let's consider the given power factor of 90°.

- The power factor of 90° indicates a purely reactive load, meaning that the load is purely inductive or capacitive and does not consume any real power.
- In this case, the real power (P) is zero because no power is being consumed by the load.
- The apparent power (S) is not zero because it includes both the real power and reactive power.
- The power factor (PF) is given by the formula PF = P / S.
- Since P is zero, the power factor is also zero.

Hence, the correct answer is option 'A' (0) because a power factor of 90° indicates a purely reactive load with zero real power consumption.

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