2013
DOI: 10.1088/0143-0807/35/1/015022
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Mathematical modelling of the electrostatic pendulum in school and undergraduate education

Abstract: The electrostatic pendulum, also known as the electrostatic ping-pong, is an exciting experiment in school as well as in undergraduate education. We can easily demonstrate how the frequency of the electrostatic pendulum depends on the voltage across the capacitor. In this paper, we develop a simple mathematical model describing the dynamics of this experiment. In a step-wise manner, we introduce the external forces influencing the dynamics of the electrostatic pendulum. First, we take into account the electric… Show more

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Cited by 6 publications
(8 citation statements)
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“…Thus, the first year laboratory could, by itself, be used to feed a wide range of curiosities of students, and to help them develop their interest in many of the practices and processes by which physics knowledge is produced. For example, by introducing topics related to advanced fields of physics from an experimental point of view first [36,37]; by emphasizing aspects of critical thinking [32], problem solving [38], theoretical modelling [39], autonomous investigation and creative design [40,41]. We believe the present work will be useful to faculties both directly, to inform educational policies and the choice of course contents, and as a theoretical basis to conduct further investigations on their own student population.…”
Section: Discussionmentioning
confidence: 95%
“…Thus, the first year laboratory could, by itself, be used to feed a wide range of curiosities of students, and to help them develop their interest in many of the practices and processes by which physics knowledge is produced. For example, by introducing topics related to advanced fields of physics from an experimental point of view first [36,37]; by emphasizing aspects of critical thinking [32], problem solving [38], theoretical modelling [39], autonomous investigation and creative design [40,41]. We believe the present work will be useful to faculties both directly, to inform educational policies and the choice of course contents, and as a theoretical basis to conduct further investigations on their own student population.…”
Section: Discussionmentioning
confidence: 95%
“…The didactic strategy for combining analytical approaches and animations, supports teaching and learning processes. In this way Algodoo also show one as a support-tool [20] that becomes the teaching/learning process of physics simpler and fruitful when compared to others software of animations and learning [10][11][12][13][14][15][16][17][18][19].…”
Section: Discussionmentioning
confidence: 99%
“…Such technologies have been widely used in the physics teaching [10][11][12]. To minimize the difficulties of teaching and learning physical phenomena, some teachers has added to your classes some softwares able to determine the evolution of the equations, in order to create simulations and animations of present phenomena, or even, to automatization of the experimental data acquisition, to modeling and interacting with virtual physical environments [13][14][15][16][17][18][19].…”
Section: Introductionmentioning
confidence: 99%
“…1. The collision is one of the main causes for the energy loss of the self-excited electrostatic actuators [24]. We proposed the addition of elastic elements to the actuator (Fig.…”
Section: Concept Of Proposed Methodsmentioning
confidence: 99%