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ElectricalPower System
PrevNext

when Q is negative the voltage ________ the current.

A

lags

B

leads

C

inphase

D

out of phase

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalPower System
Option A

lags

Quick Summary:

In AC power systems, when the reactive power QQQ is negative, the load is capacitive in nature. A capacitive load causes the current to lead the voltage, which is equivalent to saying the voltage lags the current.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In AC power systems, when the reactive power QQQ is negative, the load is capacitive in nature. A capacitive load causes the current to lead the voltage, which is equivalent to saying the voltage lags the current.

ЁЯФв Key Formulas

Q=VIsinтБб(╧Х)Q = VI \sin(\phi)Q=VIsin(╧Х) тАФ Reactive power calculation

╧Х=тИаVтИТтИаI\phi = \angle V - \angle I╧Х=тИаVтИТтИаI тАФ Phase angle relationship

тЪЩя╕П Working Principle

The reactive power QQQ is defined by the relation Q=VIsinтБб(╧Х)Q = VI \sin(\phi)Q=VIsin(╧Х). For a capacitive circuit, the current leads the voltage by an angle ╧Х\phi╧Х. Mathematically, this corresponds to a negative phase angle, making QQQ negative. Consequently, the voltage vector is positioned behind the current vector in a phasor diagram, representing a lagging voltage.

ЁЯУМ Key Points
  • тЦ╕

    Negative QQQ signifies a capacitive load (Q<0Q < 0Q<0).

  • тЦ╕

    Positive QQQ signifies an inductive load (Q>0Q > 0Q>0).

  • тЦ╕

    In capacitive loads, current leads voltage, thus voltage lags current.

  • тЦ╕

    FACTS devices like SVCs use this principle to regulate bus voltage.

тЬЕ Advantages
  • тЦ╕

    Voltage support in weak grids

  • тЦ╕

    Power factor improvement

тЭМ Disadvantages / Limitations
  • тЦ╕

    Potential for overvoltage if overcompensated

  • тЦ╕

    Higher harmonic injection

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Static Var Compensators (SVC)

  • тЦ╕

    Transmission line shunt compensation

ЁЯУД Additional Information
  • тЦ╕

    In power system conventions, the generator is the source of Q; consuming negative Q is equivalent to generating positive Q.

  • тЦ╕

    Option B (leads) is incorrect because that describes the current behavior relative to voltage in a capacitive circuit, not the voltage itself.

ЁЯУК Diagram / Illustration
ReImCurrent (I)Voltage (V)╧Ж
тЬЕ

A is correct тАФ When Q is negative, the circuit acts as a capacitor, causing the voltage phase to lag behind the leading current phase.

Core Concepts Used
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Reactive Power Phasor Analysis Capacitive Load Characteristics
ЁЯТб EXAM TIP

Remember the mnemonic 'CIVIL': In a Capacitor (C), Current (I) leads Voltage (V); in an Inductor (L), Voltage (V) leads Current (I).

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