Electronics Fundamentals: Circuits, Devices & Applications
Electronics Fundamentals: Circuits, Devices & Applications
8th Edition
ISBN: 9780135072950
Author: Thomas L. Floyd, David Buchla
Publisher: Prentice Hall
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Textbook Question
Chapter 10, Problem 1TFQ

In a series RC circuit, the impedance increases when frequency increases.

Expert Solution & Answer
Check Mark
To determine

The effect on the impedance of the given circuit due to increase in frequency.

Answer to Problem 1TFQ

The impedance does not increase when the frequency is increases for a series RC circuit.

Explanation of Solution

Given:

For series RC circuit, due to increase in frequency the impedance of the circuit also increases.

Drawing the general circuit diagram for the series RC circuit:

  Electronics Fundamentals: Circuits, Devices & Applications, Chapter 10, Problem 1TFQ

Referring the above circuit diagram, when the frequency is increased there is no change on the resistor value, because resistor do not depend upon the frequency of the system.

But for the capacitor, when the frequency of the system is increased, the capacitive reactance will decrease, because capacitive reactance is inversely proportional to the frequency.

  XC=1j2πfCfα1XC

Now, if the capacitive reactance is decreasing then in series connection, their resultant will also decrease.

As shown below, arrow is indicating frequency is increasing due to which overall impedance of the circuit decreases.

  Z=R+(1j2πfC)

Therefore, the impedance does not increase when the frequency is increases for a series RC circuit.

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Chapter 10 Solutions

Electronics Fundamentals: Circuits, Devices & Applications

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