### Series Circuit Analysis#### Circuit Description:The given circuit in the problem consists of:- A 12V AC voltage source.- A resistor (\( R \)) with a resistance of 100 ohms.- An inductor (\( X_L \)).- A capacitor (\( X_C \)) with a reactance of 2 kilo-ohms.#### Analyze the Circuit:**d) Quality Factor Determination:**- Calculate the quality factor (\( Q \)) of the circuit.- Determine if it is a high-Q or low-Q circuit.**e) Resonant Frequency:**- Given resonant frequency of 5 kHz, find the values of the inductance (\( L \)) and capacitance (\( C \)).**f) Bandwidth Calculation:**- Determine the bandwidth of the circuit response if the resonant frequency is 5 kHz.**g) Cutoff Frequencies:**- Calculate the low and high cutoff frequencies of the circuit.

Answered: 21.3 For the series circuit in Fig.…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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### Series Circuit Analysis

#### Circuit Description:
The given circuit in the problem consists of:
- A 12V AC voltage source.
- A resistor (\( R \)) with a resistance of 100 ohms.
- An inductor (\( X_L \)).
- A capacitor (\( X_C \)) with a reactance of 2 kilo-ohms.

#### Analyze the Circuit:
**d) Quality Factor Determination:**
- Calculate the quality factor (\( Q \)) of the circuit.
- Determine if it is a high-Q or low-Q circuit.

**e) Resonant Frequency:**
- Given resonant frequency of 5 kHz, find the values of the inductance (\( L \)) and capacitance (\( C \)).

**f) Bandwidth Calculation:**
- Determine the bandwidth of the circuit response if the resonant frequency is 5 kHz.

**g) Cutoff Frequencies:**
- Calculate the low and high cutoff frequencies of the circuit.

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RLC series circuit with

Resonant frequency (f_r)= 5 kHz

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