Q1: Under several simplifying assumptions, an analog of Fourier's law can be represented in one-dimensional form as: D= -8 AP dx where D is called the electric flux density vector, ɛ = permittivity of the material, and V = electrostatic potential. Similarly, a Poisson equation for electrostatic fields can be represented in two dimensions as: a2 V av ax? ay

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Q1: Under several simplifying assumptions, an analog of Fourier's law can be
represented in one-dimensional form as:
AP
D=-8
dx
where D is called the electric flux density vector, ɛ = permittivity of the material,
and V = electrostatic potential.
Similarly, a Poisson equation for electrostatic fields can be represented in two
dimensions as:
a2 V
a2 V
+
ay
Transcribed Image Text:Q1: Under several simplifying assumptions, an analog of Fourier's law can be represented in one-dimensional form as: AP D=-8 dx where D is called the electric flux density vector, ɛ = permittivity of the material, and V = electrostatic potential. Similarly, a Poisson equation for electrostatic fields can be represented in two dimensions as: a2 V a2 V + ay
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