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3-092-WirelessPower-ModelingScenario

Author(s): Iordanka Panayotova1, Maila Hallare2

1. Christopher Newport University 2. NSU Math

Keywords: DESMOS wireless power transmission electric circuits Kirchhoff's Voltage Law

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Abstract

Resource Image We present an engineering application (wireless power transmission) modelled by a coupled system of two linear second-order differential equations with constant coefficients. One equation is homogeneous while the other one is non-homogeneous.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

The application is called wireless power transmission (WPT), which belongs to a bigger class of engineering technology that does not utilize wires or cables to transfer power across space. The students will be guided in modelling WPT and the resulting system is most efficiently solved using Laplace transforms method.

Wireless power transmission (WPT) happens when electrical energy is transmitted without the use of cables or wires. A wireless charger, the most popular application of WPT, allows one to charge cellphones or toothbrushes without the use of any cable or plug. Do you know that your training in differential equations up to this point gives you the power to model the current flowing from the power source to your device, through the charging base?

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Authors

Author(s): Iordanka Panayotova1, Maila Hallare2

1. Christopher Newport University 2. NSU Math

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