UNIVERSITY OF WEST ATTICA
SCHOOL OF ENGINEERING
DEPARTMENT OF COMPUTER ENGINEERING AND INFORMATICS

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Circuit Theory

RLC Component Connections to AC Power Supply

Vasileios Evangelos Athanasiou
Student ID: 19390005

Supervisor: Christos Kampouris, Laboratory Teaching Staff
Co-supervisor: Georgios Antoniou, Laboratory Teaching Staff

Athens, June 2022

Project Overview

This laboratory project explores the behavior of RLC components (Resistor, Inductor, Capacitor) when connected to an alternating current (AC) power supply.
The project was conducted as part of the Circuit Theory course at the University of West Attica.

The primary objective is to analyze the theoretical, simulated (using Multisim), and experimental behavior of RC and RL components in both series and parallel configurations under AC voltage.

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Table of Contents

Section	Title	Description
assign	Assignment	Contains assignments and tasks
docs	Documentation	Project documentation, guides, and notes
multisim	Multisim	All souce multisim files implementing the circuits

Key Modules

• RC Component in Series
  Analysis of capacitor charging and discharging behaviors as frequency increases.

• RL Component in Series
  Investigation of coil active resistance (Xₗ) and voltage fluctuations across a 3.3 mH inductor.

• RC Component in Parallel
  Detailed analysis of parallel capacitor behavior.

• RL Component in Parallel
  Detailed analysis of parallel inductor behavior.

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Laboratory Equipment Used

• Breadboard for circuit assembly
• AC Power Supply (1 Vrms, 1 Hz – 100 kHz)
• Oscilloscope (dual-channel) for measuring sine waves and phase differences
• Multimeters
  • Digital (voltmeter)
  • Analog (ammeter)
• Components
  • Resistors: 1 kΩ, 2.2 kΩ
  • Capacitor: 470 nF
  • Inductor: 3.3 mH
  • Connection cables

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Key Findings

Frequency Response (RC Series)

• As frequency (f) increases, the capacitor's active resistance (Xc) decreases:

$$ X_c = \frac{1}{2\pi f C} \quad (\text{capacitive reactance}) $$

• Resulting in an increase in current (I) through the circuit.

Frequency Response (RL Series)

• As frequency increases, the current remains relatively constant.
• The coil's active resistance (X_L) increases:

$$ X_L = 2\pi f L \quad (\text{inductive reactance}) $$

Phase Difference

• Oscilloscope readings confirmed phase differences between source voltage and component voltage.
  Example: 10 ms difference at 100 Hz for the capacitor.

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Installation Guide

Clone this repository to your local machine.

git clone https://github.com/Circuit-Theory/RLC-AC.git