AC Electrical Circuits Average and RMS Values Quiz

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30 Questions

What is the average value of a triangular AC wave?

$\frac{VM}{2}$

In an AC circuit, what does Peak Factor represent?

The ratio of max value to RMS value

What is the time period for a sine wave to reach its first peak if the frequency is 60 Hz?

4.167 ms

What is the Impedance of a circuit defined as?

Combination of resistance and reactance

For a purely resistive load, how is the AC voltage related to the current?

Voltage and current are in phase

What is Inductive Reactance for an inductor with inductance L?

$2πfL$

What is the resonant frequency formula for a parallel RLC circuit?

$fr = \frac{1}{2\pi \sqrt{LC}}$

What does the Quality Factor (Q) represent in a resonant circuit?

Ratio of reactance to resistance

What is the impedance of a series RC circuit consisting of a 30 kΩ resistor and a 0.22 μF capacitor at 500 Hz?

29,200 Ω

In an AC series circuit with an inductor and a capacitor, what does a negative phase angle indicate?

Purely capacitive circuit

If a coil has an inductive reactance of 50 Ω and is connected to a 120 V source, what is the current flowing through it?

1.2 A

What happens to the total impedance when adding an inductor and a capacitor in series?

Increases

In an AC series RLC circuit, if the inductive reactance is greater than the capacitive reactance, how does the current behave?

It lags, like an RL circuit

What is the phase relationship between current and voltage in a purely capacitive load?

Current leads the voltage by 90 degrees

What is the resonant frequency of a series RLC circuit determined by?

Inductance and capacitance values

If XC is greater than XL in an AC series RLC circuit, how does the current behave?

It leads, like an RC circuit

What does the quality factor of a resonant circuit indicate?

The goodness or quality of a resonant circuit

How does the impedance change in an AC series RC circuit compared to an RL circuit?

Impedance decreases

What is the impedance of a series RX circuit with R = 50 Ω and X = -50 Ω?

$70.71\angle -45^\circ \Omega$

In a series RL circuit with R = 100 Ω and XL = 100 Ω, what is the phase angle between voltage and current?

The current lags the voltage by 45°

For a series RC circuit with R = 100 Ω and XC = 50 Ω, what is the phase angle by which the current leads the voltage?

26.56°

What is the phase angle of an RL circuit with L = 100 μH and R = 100 Ω at 200 kHz?

51.5°

For a parallel RX circuit with R = 30 Ω and X = -20 Ω, with a 50 V supply, what is the total current?

3.01 A

If a resistor, inductor and capacitor are connected in parallel, what is the phase relationship between the voltages across them?

Voltage across R is in phase, voltages across L and C are 90° out of phase

What is the formula for the bandwidth of a circuit?

$\text{BW} = f_H - f_L$

What is the relationship between admittance, conductance, and susceptance?

Admittance is the reciprocal of impedance, conductance is the reciprocal of resistance, and susceptance is the reciprocal of reactance.

In a parallel RLC circuit, what is the relationship between the inductive and capacitive susceptances that determines the phase of the current?

If $B_L > B_C$, the current lags; if $B_C > B_L$, the current leads; if $B_L = B_C$, the current is in-phase.

What is the formula for the admittance of a parallel RC circuit in complex form?

$Y = G + jB_C$

What is the formula for the admittance of a parallel RL circuit in complex form?

$Y = G - jB_L$

What is the relationship between the admittance phasor $\mathbf{Y}$ and its components, conductance $G$ and susceptance $B$, in polar form?

$\mathbf{Y} = \sqrt{G^2 + B^2} \angle \tan^{-1}\left(\frac{B}{G}\right)$

Test your knowledge on average and RMS values of AC waves including triangular, square, and sine waves. Explore concepts like peak factor and form factor in AC circuits. Practice with review questions on peak time of AC voltage waves.

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