Answered: Know the RLC circuit configurations…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Know the RLC circuit configurations that act as bandpass
filters

Recalculate the component values for the circuit so that the quality factor of the resulting circuit is unchanged but the center frequency has been moved to 2 kHz. Use a 0.2μF capacitor.

Expert Solution

Step 1

Calculating value of inductor from the center frequency

$\begin{array}{rcl} ω_{0} & = & \sqrt{\frac{1}{L C}} \\ L & = & \frac{1}{{ω_{0}}^{2} C} \\ L & = & \frac{1}{{[2 π (2 KHz)]}^{2} (0.2 μ F)} \\ = & \frac{1}{31.58} \\ = & 31.66 m H \end{array}$

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