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Rlc Circuits Part 1 Lab Report

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Running head: LABORATORY 18: RLC CIRCUITS: PART 1 1

Laboratory 18

RLC Circuits: Part 1

(Name)

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LABORATORY 18: RLC CIRCUITS: PART 1 2

Abstract

The characteristic angular frequency, half-time and critical resistance of an RLC circuit

have been estimated. A good agreement is obtained for the calculation of the angular frequency

(518363 ± 3770 rad/s, error = 8%). A systematic error seems to have been committed due to

inexperience in the technique used in this lab for the estimation of the half-time of the circuit.

This systematic error should be significantly minimized through further practice.

Introduction

The RLC circuit used in this experiment consists of a voltage supply, a resistor, a

capacitor, and an inductor.

The main objective of this experiment is to analyze the phenomenon of resonance.

Resonance is achieved by the generation of a harmonic alternative current by intermittently

charging and discharging the capacitor included in the RLC circuit. The frequency of the

harmonic or resonant oscillation is given by:









Where L is the inductance and C is the capacitance of the circuit.

On the other hand, the life-time of the resonance process is calculated as:













Where L is the inductance and R the resistance of the circuit. This lifetime represents the time

required by the amplitude of the resonant oscillation of the value of the charge (Q) of the

capacitor is dropped to 50% of the initial value. The above formula takes into account that this

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Running head: LABORATORY 18: RLC CIRCUITS: PART 1 Laboratory 18 RLC Circuits: Part 1 (Name) (Course) (Date) 1 LABORATORY 18: RLC CIRCUITS: PART 1 2 Abstract The characteristic angular frequency, half-time and critical resistance of an RLC circuit have been estimated. A good agreement is obtained for the calculation of the angular frequency (518363 ± 3770 rad/s, error = 8%). A systematic error seems to have been committed due to inexperience in the technique used in this lab for the estimation of the half-time of the circuit. This systematic error should be significantly minimized through further practice. Introduction The RLC circuit used in this experiment consists of a voltage supply, a resistor, a capacitor, and an inductor. The main objective of this experiment is to analyze the phenomenon of resonance. Resonance is achieved by the generation of a harmonic alternative current by intermittently charging and discharging the capacitor included in the RLC circuit. The frequency of the harmonic or resonant oscillation is given by: 1 𝜔=√ 𝐿𝐶 Where L is the inductance and C is the capacitance of the circuit. On the other hand, the life-time of the resonance process is calculated as: 𝑡1/2 = 2 ln 2 ∗ 𝐿 = 𝜏 ∗ ln 2 𝑅 Where L is the inductance and R the resistance of the circuit. This lifetime represents the time required by the amplitude of the resonant oscillation of the value of the charge (Q) of the capacitor is dropped to 50% of the initial va ...
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