hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Consider a circuit with Resistance, Inductor and Capacitor connected in series. The phase difference between the current and the alternating voltage (
    Question

    Consider a circuit with Resistance, Inductor and Capacitor connected in series. The phase difference between the current and the alternating voltage (at resonance) is:

    A.

    0

    B.

    π/4

    C.

    π/2

    D.

    π

    Correct option is A

    In Series LCR Circuit:At resonance, the inductive reactance XL and the capacitive reactance XC become equal.Thus, at resonance:V=IRPhase Angle:The phase angle ϕ in a series LCR circuit is given by:tanϕ=XLXCRAt resonance, since XL=XC:tanϕ=0=>ϕ=0\text{In Series LCR Circuit:} \\\text{At resonance, the inductive reactance } X_L \text{ and the capacitive reactance } X_C \text{ become equal.} \\\text{Thus, at resonance:} \\V = I R \\\text{Phase Angle:} \\\text{The phase angle } \phi \text{ in a series LCR circuit is given by:} \\\tan \phi = \frac{X_L - X_C}{R} \\\text{At resonance, since } X_L = X_C: \\\tan \phi = 0 \quad \Rightarrow \quad \phi = 0^\circ​​

    ​​

    Similar Questions

    test-prime-package

    Access ‘AAI JE ATC’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    368k+ students have already unlocked exclusive benefits with Test Prime!
    test-prime-package

    Access ‘AAI JE ATC’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    368k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow