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Inductors in AC Circuits quiz

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  • What is the general behavior of current in an AC circuit?
    The current oscillates with an angular frequency ω, varying between +I_max and -I_max.
  • How is the voltage across an inductor in an AC circuit calculated?
    It is calculated as V = I_max × ω × L × cos(ωt + π/2).
  • What does the term ω represent in AC circuits?
    ω represents the angular frequency of the oscillating current or voltage.
  • How does the voltage across an inductor compare in phase to the current?
    The voltage across an inductor leads the current by 90 degrees.
  • What is the maximum voltage across an inductor in terms of I_max, ω, and L?
    The maximum voltage is V_max = I_max × ω × L.
  • What is inductive reactance and its unit?
    Inductive reactance is a resistance-like quantity for inductors, measured in Ohms.
  • How is inductive reactance (X_L) calculated?
    Inductive reactance is calculated as X_L = ωL.
  • What is the formula for the maximum current in an inductor circuit?
    I_max = V_max / X_L, where X_L is the inductive reactance.
  • How do you calculate the angular frequency from linear frequency?
    Angular frequency ω = 2πf, where f is the linear frequency in hertz.
  • What is the phase relationship between voltage and current in a resistor compared to an inductor?
    In a resistor, voltage and current are in phase; in an inductor, voltage leads current by 90 degrees.
  • What is the unit of inductance?
    The unit of inductance is the Henry (H).
  • How do you solve for the inductance of an inductor in an AC circuit?
    Inductance L = V_max / (ω × I_max).
  • If an AC source has a maximum voltage of 120 V, frequency 60 Hz, and maximum current 5 A, what is the inductance?
    The inductance is 0.064 Henrys.
  • What does Kirchhoff's loop rule say about voltage in an AC circuit?
    Kirchhoff's loop rule says that the maximum voltage across the inductor equals the maximum voltage supplied by the source.
  • What happens to the current when the voltage across an inductor is at its peak?
    When the voltage is at its peak, the current is zero and just about to start increasing.