Answered: What will be the total impedance of a…

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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What will be the total impedance of a series resonant circuit if the resistance is of 1.5 ohms, the inductor is of 2 mH and the capacitor is of 5 mF. The frequency of the ac signal is 1 kHz.

Expert Solution

Step 1

The total impedance of a series resonant circuit can be expressed as

$Z = R + j (ω L - \frac{1}{ω C}) Ω - - - > (1)$ where R is the resistance, L is the inductance and C is the capacitance.

It is to be noted that $ω = 2 π f$ where f is the frequency of the input ac signal.

In this case, the following information is given:

$R = 1.5 Ω L = 2 mH = 2 \times 10^{- 3} H C = 5 mF = 5 \times 10^{- 3} F f = 1 kHz = 10^{3} Hz$

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