Vernier Software & Technology

# RLC Circuits

## Introduction

You have studied the behavior of capacitors and inductors in simple direct-current (DC) circuits. In alternating current (AC) circuits, these elements act somewhat like resistors to limit current flow. The term used for the resistance these elements offer to current flow in AC circuits is reactance. The general term for the sum of all the resistance and reactance (both capacitive and inductive) in a circuit is impedance.

The reactance for a particular capacitor or inductor varies with the frequency of the circuit. Capacitors store energy in electric fields. When fully charged, they will not let current flow in a DC circuit. However, in AC circuits, as the frequency increases, their resistance to the flow of charge decreases. Inductors store energy in magnetic fields. In DC circuits, an ideal inductor has no resistance, but in AC circuits, its resistance increases with the frequency.

In this experiment, you will examine the behavior of an AC circuit containing a capacitor (C), an AC circuit containing a resistor and an inductor (RL), and an AC circuit containing all three elements (RLC).

## Objectives

In this experiment, you will

• Learn the terms capacitive reactance, inductive reactance, and impedance.
• Determine the relationship between the reactance and frequency for a capacitor.
• Determine the relationship between the impedance and frequency of an RL circuit.
• Determine the resonant frequency of an RLC circuit.
• Experiment with resonance and energy transfer in an RLC circuit.

## Sensors and Equipment

This experiment features the following Vernier sensors and equipment.

You may also need an interface and software for data collection. What do I need for data collection?

## Advanced Physics with Vernier — Beyond Mechanics

See other experiments from the lab book.

 1 Behavior of a Gas 2 Heat Engines 3 Standing Waves on a String 4 Standing Waves in a Column of Air 5 Doppler Effect 6 Electrostatics 7 Coulomb's Law 8 Mapping Electric Potential 9 Factors Affecting Electrical Resistance 10 Series and Parallel Circuits 11 Faraday’s Law: Moving Magnet 12 Faraday’s Law: Alternating Current 13 Capacitors and Inductors 14 RLC Circuits 15 Curved Mirrors and Images 16 Thin Lenses and Real Images 17 Thin Lenses and Virtual Images 18 Aperture and Depth of Field 19 Interference 20 Diffraction 21 Spectrum of Atomic Hydrogen 22 Planck’s Constant

### Experiment 14 from Advanced Physics with Vernier — Beyond Mechanics Lab Book

#### Included in the Lab Book

Vernier lab books include word-processing files of the student instructions, essential teacher information, suggested answers, sample data and graphs, and more.