'Dielectric dilemma faces scientists' presentation slideshows

Dielectric Dilemma

A dielectric dilemma faces scientists because Maxwell's equations are poor approximations as usually written, with a single dielectric constant. Maxwell's equations are then not accurate enough to be useful in many applications. The dilemma can be partially resolved by a rederivation of conservation of current, where current is defined now to include the u2018polarization of the vacuumu2019 ud835udf000 ud835udf15ud835udc04ud835udf15ud835udc61u2044. Conserveration of current becomes Kirchoff's current law with this definition, in the one dimensional circuits of our electronic technology. With this definition, Kirchoff's laws are valid whenever Maxwell's equations are valid, explaining why those laws reliably describe circuits that switch in nanoseconds.

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