Exam 17: Rlc Circuits and Resonance

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  Figure 17-1 -If the series circuit in Figure 17-1 is resonant, the circuit is purely resistive and the phase shift is zero degrees. Figure 17-1 -If the series circuit in Figure 17-1 is resonant, the circuit is purely resistive and the phase shift is zero degrees.

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   -The capacitive reactance in Figure  is: -The capacitive reactance in Figure is:

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Resonant frequency of a circuit occurs when the inductive reactance is equal to the capacitive reactance.

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A parallel resonant circuit has a low impedance at the resonant frequency.

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  -If the parallel circuit in Figure  is resonant, the inductive and capacitive reactance must be equal. -If the parallel circuit in Figure is resonant, the inductive and capacitive reactance must be equal.

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  Figure 17-1 -If the series circuit in Figure 17-1 is NOT resonant, the impedance will be lower than it is at the resonant frequency. Figure 17-1 -If the series circuit in Figure 17-1 is NOT resonant, the impedance will be lower than it is at the resonant frequency.

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   -Is the circuit in Figure 17-7 at or near resonance? -Is the circuit in Figure 17-7 at or near resonance?

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   -The current through the resistor in Figure  is: -The current through the resistor in Figure is:

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Half-power frequencies

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   -Given the circuit in Figure 17-5, the circuit current is: -Given the circuit in Figure 17-5, the circuit current is:

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   -Given the circuit in Figure 17-5, the circuit phase angle is: -Given the circuit in Figure 17-5, the circuit phase angle is:

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  -Given the circuit in Figure , the circuit impedance is: -Given the circuit in Figure , the circuit impedance is:

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  -Given the circuit in Figure, the circuit current is: -Given the circuit in Figure, the circuit current is:

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   -The phase shift between the source voltage V<sub>S</sub> and total circuit current in Figure is: -The phase shift between the source voltage VS and total circuit current in Figure is:

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   -In Figure 17-8, calculate IT. -In Figure 17-8, calculate IT.

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At frequencies well above and below the resonant frequency, the series RLC circuit looks above resonance, and the parallel RLC circuit looks below resonance.

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In a series resonant circuit, current is maximum and impedance is minimum at resonance.

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   -The Total circuit current in Figure is: -The Total circuit current in Figure is:

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Apparent power in an RLC circuit is equal to total voltage times total current when:

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   -The True power in Figure  is: -The True power in Figure is:

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