Which one of the following statements concerning the impedance of an RCL circuit

Question

Which one of the following statements concerning theimpedance of an RCL circuit is true?

a. The impedance depends only on thevalues of C and L.
b. The impedance is dominated by thecapacitance at low frequencies.
c. The impedance is dominated by theresistance at high frequencies.
d. The impedance is independent offrequency.
e. The impedance depends only on the resistance. Which one of the following statements concerning theimpedance of an RCL circuit is true? The impedance depends only on thevalues of C and L. The impedance is dominated by thecapacitance at low frequencies. The impedance is dominated by theresistance at high frequencies. The impedance is independent offrequency. The impedance depends only on the resistance.

Explanation / Answer

the impedance of an RCL circuit is Z = (R^2 + (XL - XC)^2)^(1/2) XL= 2fL and XC= (1/2fC) the impedance is dominated by the capacitance at lowfrequencies.This is because the capacitive reactance is inverselyproportional to the frequency and hence when the frequencydecreases then the capacitance reactance increases.

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