Flashcards on Resistor, inductor and capacitor in an AC circuit

Resistor, Inductor & Capacitor in an AC Circuit: Analysis & Examples

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How do AC circuits differ from DC circuits regarding voltage and current over time?

In AC circuits, voltage and current periodically reverse direction, while in DC circuits, they remain constant over time.

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28 cards

Card 1

Question: How do AC circuits differ from DC circuits regarding voltage and current over time?

Answer: In AC circuits, voltage and current periodically reverse direction, while in DC circuits, they remain constant over time.

Card 2

Question: What is the general characteristic of an alternating current (AC) waveform?

Answer: An alternating current (AC) is characterized by its sinusoidal waveform, meaning its magnitude and direction vary cyclically over time.

Card 3

Question: What is the equation for a typical AC voltage?

Answer: V(t) = V_peak · sin(2πft + φ), where V_peak is the maximum voltage, f is the frequency in hertz (Hz), t is time in seconds (s), and φ is the phase ang

Card 4

Question: What is the equation for a typical AC current?

Answer: I(t) = I_peak · sin(2πft + θ), where I_peak is the maximum current and θ is the phase angle of the current.

Card 5

Question: How do resistors behave in AC circuits compared to DC circuits?

Answer: In AC circuits, when an AC voltage is applied across a pure resistor, the current through the resistor is directly proportional to the voltage across

Card 6

Question: What is the phase relationship between instantaneous voltage and instantaneous current in a pure resistor in an AC circuit?

Answer: The instantaneous voltage V_R(t) across the resistor and the instantaneous current I_R(t) through it are always in phase.

Card 7

Question: If the voltage across a resistor in an AC circuit is V_R(t) = V_R,peak · sin(2πft), what is the current through it?

Answer: I_R(t) = I_R,peak · sin(2πft), where I_R,peak = V_R,peak / R.

Card 8

Question: Does the resistance of a resistor change with AC frequency?

Answer: No, the resistance R, measured in ohms (Ω), remains constant regardless of the AC frequency.

Card 9

Question: How is the average power dissipated by a resistor in an AC circuit calculated?

Answer: The average power dissipated is P = I_RMS² · R = V_RMS² / R, where I_RMS and V_RMS are the root-mean-square values of current and voltage, respectivel

Card 10

Question: How does an inductor behave in an AC circuit?

Answer: An inductor opposes changes in current due to its property of inductance. The continuously changing current induces a back electromotive force (EMF) t