Lecture 11 (1)

1.

RLC Circuits
OEk 1115 - Fundamentals of Electronics
Lecture 11

2.

Outline
RLC Circuits
Series Resonance
Parallel RLC Circuit

3.

RLC Circuits
A series RLC circuit contains resistance, inductance, and capacitance.

4.

RLC Circuits
For each of the following frequencies of the source voltage, find the impedance
and the phase angle for the circuit in Figure 4. Note the change in the impedance
and the phase angle with frequency.
(a) f = 1 kHz
(b) f = 3.5 kHz
(c) f = 5 kHz

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RLC Circuits

6.

RLC Circuits

7.

RLC Circuits

8.

RLC Circuits
Example. Determine the total impedance for the series RLC circuit.

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RLC Circuits
Solution.

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RLC Circuits
Find the voltage across each component in Figure and find the voltage across L
and C combined.

11.

12.

Series Resonance
In a series RLC circuit, series resonance occurs when XL = Xc. The frequency at
which resonance occurs is called the resonant frequency and is designated fr.

13.

Series Resonant Frequency
Example. Find the series resonant frequency for the circuit.

14.

Series Resonant Frequency
Example. Find I, V(R), V(C), and V(L) at resonance in the circuit.

15.

Series Resonant Frequency
Solution.

16.

Parallel RLC Circuit

17.

Parallel RLC Circuit
Example. Determine the total impedance for the parallel RLC circuit.

18.

Parallel RLC Circuit
Solution.

19.

Q&A
Any Questions?