Solution (source code)

= Solution

Three standard approaches are \b[piezoelectric, electromagnetic and <electrostatic energy harvesting>].

* A piezoelectric microcantilever or <nanowire> develops <electric polarization> when strained. An inertial mass, bending substrate or vibration bends the element; <electrodes> and a rectifier collect charge. <PZT>, ZnO and <PVDF> illustrate different material choices. This approach needs no external bias for transduction and can give appreciable <voltage> in a compact element. Its <capacitance> gives high source impedance and relatively small <electric current>; brittle materials, fatigue, depolarization and a narrow mechanical <resonance> can limit performance.
* Electromagnetic harvesting uses relative motion of a magnet and coil to change <magnetic flux>, producing $\mathcal E=-N\,d\Phi/dt$. A micromachined coil and movable magnet can implement it at the microscale. It can offer low source impedance and useful <electric current>, but the small flux and coil area make <voltage> and <power> increasingly difficult to maintain on miniaturization; coil resistance and fabrication of magnets also matter. A practical microscale device does not imply efficient scaling all the way to individual <nanowires>.
* Electrostatic harvesting uses a variable <capacitor>, for example <MEMS> comb fingers or moving plates. Mechanical motion changes <capacitance>; an initial charge, electrical bias or <electret> allows this change to do electrical work. Small gaps favor strong coupling and compatibility with microfabrication. Limitations include the need for charge or bias, parasitic <capacitance>, leakage, pull-in, stiction and <dielectric breakdown>.

In all three cases the output is constrained by the available mechanical input and damping. Nanoscale dimensions alone do not supply an <energy> advantage.