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Back to Practice Questions
ElectricalBasic Electrical
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In pure inductor circuit, which quantity is lagging

A

Current

B

Voltage

C

Both of these

D

None of these

Correct Answer

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

Current

Quick Summary:

In a pure inductive circuit, the current lags the applied voltage by exactly 90 degrees or ╧А2\frac{\pi}{2}2╧АтАЛ radians. This occurs because the inductor opposes any change in current, resulting in a phase shift where the voltage peak leads the current peak.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In a pure inductive circuit, the current lags the applied voltage by exactly 90 degrees or ╧А2\frac{\pi}{2}2╧АтАЛ radians. This occurs because the inductor opposes any change in current, resulting in a phase shift where the voltage peak leads the current peak.

ЁЯФв Key Formulas

XL=2╧АfLX_L = 2\pi f LXLтАЛ=2╧АfL тАФ Inductive Reactance in ohms

v(t)=Ldidtv(t) = L \frac{di}{dt}v(t)=LdtdiтАЛ тАФ Voltage-Current relationship for an inductor

тЪЩя╕П Working Principle

According to Faraday's Law of Electromagnetic Induction, the voltage across an inductor is given by v(t)=Ldidtv(t) = L \frac{di}{dt}v(t)=LdtdiтАЛ. When a sinusoidal voltage v=VmsinтБб(╧Йt)v = V_m \sin(\omega t)v=VmтАЛsin(╧Йt) is applied, the current i(t)i(t)i(t) becomes Vm╧ЙLsinтБб(╧ЙtтИТ90┬░)\frac{V_m}{\omega L} \sin(\omega t - 90┬░)╧ЙLVmтАЛтАЛsin(╧ЙtтИТ90┬░). The back-EMF generated by the change in current causes the current to be delayed relative to the voltage.

ЁЯУМ Key Points
  • тЦ╕

    The phase angle difference is exactly 90 degrees.

  • тЦ╕

    The power factor of a pure inductor is zero (lagging).

  • тЦ╕

    Inductors store energy in the form of a magnetic field.

  • тЦ╕

    Average power consumed by a pure inductor over one cycle is zero.

тЬЕ Advantages
  • тЦ╕

    Provides high impedance to high-frequency signals

  • тЦ╕

    Essential for filter and oscillator circuit design

тЭМ Disadvantages / Limitations
  • тЦ╕

    Cannot dissipate real power

  • тЦ╕

    Physical inductors always possess internal resistance causing losses

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    AC motor starting circuits

  • тЦ╕

    RF tuning and frequency filtering

  • тЦ╕

    Transformer windings

ЁЯУД Additional Information
  • тЦ╕

    Option B is incorrect because voltage leads the current in an inductive circuit, whereas current leads voltage only in a capacitive circuit.

  • тЦ╕

    The term 'lagging' refers to the time-domain peak of the current occurring after the peak of the voltage.

ЁЯУК Diagram / Illustration
Pure Inductor PhasorVI
тЬЕ

A is correct тАФ In a pure inductive circuit, the current waveform lags behind the applied voltage waveform by a phase angle of 90┬░90┬░90┬░.

Core Concepts Used
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Inductive Reactance Phase Lag Faraday's Law
ЁЯТб EXAM TIP

Remember the mnemonic 'ELI the ICE man': In an Inductor (L), E leads I; in a Capacitor (C), I leads E.

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