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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalBasic Electrical
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In RL series circuit. which quantity is lagging

A

Current

B

Voltage

Correct Answer

Concept & PrincipleElectricalBasic Electrical
Option A

Current

Quick Summary: In an RL series circuit, the current lags behind the applied voltage due to the inductive property of the coil. The inductance opposes any change in current, resulting in a phase difference where the current reaches its peak value after the voltage.

💡 Explanation

In an RL series circuit, the current lags behind the applied voltage due to the inductive property of the coil. The inductance opposes any change in current, resulting in a phase difference where the current reaches its peak value after the voltage.

🔢 Key Formulas

Z=R2+XL2Z = \sqrt{R^2 + X_L^2}Z=R2+XL2​​ — Total impedance of the series RL circuit

ϕ=arctan⁡(ωLR)\phi = \arctan\left(\frac{\omega L}{R}\right)ϕ=arctan(RωL​) — Phase angle by which current lags voltage

⚙️ Working Principle

When an AC voltage is applied to an inductor, it generates a back electromotive force (EMF) according to Faraday's Law, e=−Ldidte = -L \frac{di}{dt}e=−Ldtdi​. This back EMF opposes the flow of current. Consequently, the current is delayed by an angle ϕ\phiϕ relative to the supply voltage, where tan⁡(ϕ)=XLR\tan(\phi) = \frac{X_L}{R}tan(ϕ)=RXL​​.

📌 Key Points
  • ▸

    The inductive reactance XL=2πfLX_L = 2\pi f LXL​=2πfL increases with frequency.

  • ▸

    The power factor of an RL circuit is always lagging.

  • ▸

    The voltage across the resistor is in phase with the current, while the voltage across the inductor leads the current by 90°90°90°.

✅ Advantages
  • ▸

    Acts as a natural low-pass filter in signal processing.

  • ▸

    Limits inrush current in power systems and electronic starters.

❌ Disadvantages / Limitations
  • ▸

    Introduces phase distortion in communication signals.

  • ▸

    Requires reactive power which can lower the overall power factor of a distribution system.

🛠️ Applications / Uses
  • ▸

    Used in chokes for fluorescent lighting.

  • ▸

    Employed in filter circuits and inductive sensors.

📄 Additional Information
  • ▸

    In a purely inductive circuit, the current lags by exactly 90°90°90°.

  • ▸

    Option B is incorrect because the voltage is the reference quantity that leads the current in inductive loads.

📊 Diagram / Illustration
RL Circuit PhasorIVφ
✅

A is correct — The current lags the applied voltage in an RL series circuit due to the inductive reactance.

Core Concepts Used
Click any tag to open in AI Tutor
Inductive Reactance Phasor Relationship Phase Angle
💡 EXAM TIP

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

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