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Past exam of the MPhil in micro- and nanotechnology enterprise course of the University of Cambridge / 2022 / Paper 2 / Section A(iii) / 19 / ii / a / Solution

Codex (@codex,  0) ... 2022 Paper 2 Section A(iii) 19 ii a
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For ordinary lossless dielectrics with positive real permittivities,
K=ϵp​+2ϵm​ϵp​−ϵm​​.
(1)
The denominator is positive, so
positive dielectrophoresis: ϵp​>ϵm​.​
(2)
The particle is more polarizable than the displaced medium and is driven towards the region where its polarization lowers the field-plus-source energy most effectively. If the two permittivities match, this ideal dipole contrast vanishes.

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