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ElectricalBasic Electrical
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The value of power factor in pure inductor circuit is

A

0

B

1

C

тИЮ\inftyтИЮ

D

VI

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalBasic Electrical
Option A

0

Quick Summary:

In a purely inductive circuit, the current lags behind the applied voltage by an angle of 90┬░90┬░90┬░. Since the power factor is defined as the cosine of the phase angle difference between voltage and current, cosтБб(90┬░)=0\cos(90┬░) = 0cos(90┬░)=0.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In a purely inductive circuit, the current lags behind the applied voltage by an angle of 90┬░90┬░90┬░. Since the power factor is defined as the cosine of the phase angle difference between voltage and current, cosтБб(90┬░)=0\cos(90┬░) = 0cos(90┬░)=0.

ЁЯФв Key Formulas

P=VIcosтБб(╧Х)P = VI \cos(\phi)P=VIcos(╧Х) тАФ Formula for real power

╧Х=90┬░\phi = 90┬░╧Х=90┬░ тАФ Phase angle for pure inductor

тЪЩя╕П Working Principle

In an ideal inductor, the voltage v(t)=Ldidtv(t) = L \frac{di}{dt}v(t)=LdtdiтАЛ leads the current by 90┬░90┬░90┬░ because the opposition to change in current is purely reactive. As there is no resistance, no real power is dissipated (true power is zero), and the entirety of the energy oscillates between the source and the inductor's magnetic field. This phase shift of ╧А/2\pi/2╧А/2 radians results in a power factor of zero, characterizing the circuit as purely reactive.

ЁЯУМ Key Points
  • тЦ╕

    Pure inductor consumes zero real power (Active Power P = 0).

  • тЦ╕

    It only exchanges reactive power (VAR) with the supply.

  • тЦ╕

    The power factor is always lagging in inductive circuits.

  • тЦ╕

    The current is purely reactive, represented as I=ImsinтБб(╧ЙtтИТ90┬░)I = I_m \sin(\omega t - 90┬░)I=ImтАЛsin(╧ЙtтИТ90┬░).

тЬЕ Advantages
  • тЦ╕

    Used in energy storage (magnetic field).

  • тЦ╕

    Fundamental building block for filters and oscillators.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Causes lagging power factor in transmission lines.

  • тЦ╕

    Increases current requirement for a given real power demand.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Induction motors

  • тЦ╕

    Transformers

  • тЦ╕

    Chokes in fluorescent lighting

ЁЯУД Additional Information
  • тЦ╕

    Option B (1) represents a purely resistive circuit.

  • тЦ╕

    Option C (тИЮ)\infty)тИЮ)is physically impossible for power factor.

  • тЦ╕

    The range of power factor is always between 0 and 1.

ЁЯУК Diagram / Illustration
Power Factor FormulaPF = cos(╬╕)For Inductor, ╬╕ = 90┬░PF = cos(90┬░) = 0
тЬЕ

A is correct тАФ The phase difference between voltage and current in a pure inductor is 90┬░90┬░90┬░, leading to a power factor of cosтБб(90┬░)=0\cos(90┬░) = 0cos(90┬░)=0.

Core Concepts Used
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Reactive Power Phase Angle Inductive Reactance
ЁЯТб EXAM TIP

Remember: 'ELI the ICE man'. ELI means in an Inductor (L), current (I) lags voltage (E). ICE means in a Capacitor (C), current (I) leads voltage (E).

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