1. Carefully justify why a DC signal can be thought of as a 0-Hz AC signal. 2. A
ID: 2006128 • Letter: 1
Question
1. Carefully justify why a DC signal can be thought of as a 0-Hz AC signal.2. A series RLC circuit has elements with the following values: R = 10 O, L = 0.5 H, and C = 2 ?F. What is the resonant frequency of this circuit? Show all work.
3. If you change the value of the resistor in Question 2 will the resonant frequency change. Explain.
4. Describe the magnitude of the impedance of a capacitor at very high frequencies qualitatively.
5. The magnitude of the impedance of a capacitor, called the capacitative reactance, is represented by the symbol XC. Based on your answer to Question 4, is the capacitative reactance related to the frequency f and capacitance C by the relation XC = 2?fC or XC = 1/2?fC? (circle one) Explain your answer.
6. Describe the magnitude of the impedance of an inductor at very high frequencies qualitatively.
7. The magnitude of the impedance of an inductor, called the inductive reactance, is represented by the symbol XL. Based on your answer in Question 6, is the inductive reactance related to the frequency f and inductance L by the relation XL = 2?fL or XL = 1/2?fL? (circle one) Explain your answer.
8. Describe precisely the behavior of an RLC circuit at the resonant frequency. Be quantitative as to (a) the size of the peak current as compared to the peak current at other frequencies, and (b) the phase difference between the applied signal voltage and the current.
Explanation / Answer
Given that RLC circuit R = 10 .0 , inductor L = 0.5 H , Capacitor C = 2.0F Resonant frequency f = 1/2 LC = 1/ 2 0.5 H * 2.0F = 159.2 Hz 3) series resonant frequency is independent of resistance so there is no change in frequency when the resistance changed 4) The impedance of the resistor is constant, while the impedance of a capacitor is infinity at DC and approaches zero at high frequencies. So qualitatively, we know the output gain will be ~1 at low frequencies (most voltage dropped across capacitor) and 0 at high frequencies (minimal voltage dropped across the capacitor). please post the questions seperately . This is multiple post.Related Questions
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