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ElectricalBasic Electrical
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Inductive reactance is denoted by

A

RRR

B

XLX_LXLтАЛ

C

XCX_CXCтАЛ

D

ZZZ

Correct Answer

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

XLX_LXLтАЛ

Quick Summary:

Inductive reactance (XLX_LXLтАЛ) is the opposition offered by an inductor to the flow of alternating current. It is measured in Ohms (╬й\Omega╬й) and is directly proportional to the frequency of the supply and the inductance of the coil.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Inductive reactance (XLX_LXLтАЛ) is the opposition offered by an inductor to the flow of alternating current. It is measured in Ohms (╬й\Omega╬й) and is directly proportional to the frequency of the supply and the inductance of the coil.

ЁЯФв Key Formulas

XL=2╧АfLX_L = 2\pi fLXLтАЛ=2╧АfL тАФ The formula for inductive reactance where fff is frequency and LLL is inductance.

XL=╧ЙLX_L = \omega LXLтАЛ=╧ЙL тАФ The angular frequency representation where ╧Й=2╧Аf\omega = 2\pi f╧Й=2╧Аf.

тЪЩя╕П Working Principle

When an AC current flows through an inductor, it creates a time-varying magnetic field, which induces a back electromotive force (EMF) according to Lenz's Law. This back EMF opposes the change in current, manifesting as an opposition to the flow of current known as inductive reactance. Unlike resistance, it does not dissipate power as heat but stores it in the magnetic field.

ЁЯУМ Key Points
  • тЦ╕

    Inductive reactance increases linearly with frequency (XLтИЭfX_L \propto fXLтАЛтИЭf).

  • тЦ╕

    For DC circuits (f=0f=0f=0), XL=0X_L = 0XLтАЛ=0, meaning an inductor acts as a short circuit in steady state.

  • тЦ╕

    The unit of XLX_LXLтАЛ is Ohms (╬й\Omega╬й).

  • тЦ╕

    Inductive reactance causes the current to lag the voltage by 90 degrees in a purely inductive circuit.

тЬЕ Advantages
  • тЦ╕

    Used in filters to block high-frequency signals.

  • тЦ╕

    Essential in designing chokes and transformers.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Causes phase lag between voltage and current.

  • тЦ╕

    Reactance values change with supply frequency, making it sensitive to harmonic distortion.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Low-pass filter circuits.

  • тЦ╕

    Induction motors and transformers.

  • тЦ╕

    Ballasts for fluorescent lighting.

ЁЯУД Additional Information
  • тЦ╕

    Option A (R) represents Resistance, which is the opposition to both DC and AC.

  • тЦ╕

    Option C (XCX_CXCтАЛ) represents Capacitive Reactance, defined as 1/(2╧АfC)1/(2\pi fC)1/(2╧АfC).

  • тЦ╕

    Option D (Z) represents Impedance, which is the total opposition to current flow in an AC circuit, calculated as Z=R2+(XLтИТXC)2Z = \sqrt{R^2 + (X_L - X_C)^2}Z=R2+(XLтАЛтИТXCтАЛ)2тАЛ.

ЁЯУК Diagram / Illustration
Inductive Reactance Formula
XL=2╧АfLX_L = 2\pi fLXLтАЛ=2╧АfL
fff: Frequency (Hz), LLL: Inductance (H)
тЬЕ

B is correct тАФ Inductive reactance is denoted by the symbol XLX_LXLтАЛ and represents the frequency-dependent opposition of an inductor to AC current.

Core Concepts Used
Click any tag to open in AI Tutor
Electromagnetic Induction AC Circuit Theory Frequency dependence of passive components
ЁЯТб EXAM TIP

Remember that XLX_LXLтАЛ is directly proportional to frequency, whereas XCX_CXCтАЛ is inversely proportional to frequency; this is a classic trap in resonance and filter questions!

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