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Power Dielectrics Electric flux density in dielectrics

Power
𝑃 = ∫ 𝐸⃗ βˆ™ 𝐽𝑑𝑣
𝑉
2
𝑃 = ∫ 𝜎|𝐸⃗ | 𝑑𝑣
𝑉
Dielectrics
Polarization:
βˆ‘ π‘„π‘˜ π‘‘π‘˜
βˆ†π‘£β†’0
βˆ†π‘£
𝑃⃗ = lim
Polarization surface charge density:
πœŒπ‘π‘  = 𝑃⃗ βˆ™ π‘Žπ‘›
Polarization volume charge density:
πœŒπ‘π‘£ = βˆ’βˆ‡ βˆ™ 𝑃⃗
Electric flux density in dielectrics
βƒ— = πœ–0 𝐸⃗ + 𝑃⃗
𝐷
𝑃⃗ = πœ’π‘’ πœ–0 𝐸⃗
βƒ— = πœ–0 𝐸⃗ + πœ’π‘’ πœ–0 𝐸⃗
𝐷
βƒ— = πœ€0 πœ–π‘Ÿ 𝐸⃗
𝐷
πœ–π‘Ÿ = 1 + πœ’π‘’ dielectric constant (relative permittivity)

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