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Conductors and Dielectrics in an Electric Field

Problem 3.94

A plate of thickness \(h\) made of uniform statically polarized dielectric is placed inside a capacitor whose parallel plates are interconnected by a conductor. The polarization of the dielectric is equal to P (Fig. 3.15). The separation between the capacitor plates is \(d\). Find the strength and induction vectors for the electric field both inside and outside the plates.

Reveal Answer
 3.94. E1=Ph/ε0d (between the plates), E2=−(1−h/d)P/ε0D1=D2=Ph/d\begin{aligned} &\text { 3.94. } \mathbf{E}_{1}=\mathbf{P} h / \varepsilon_{0} d \text { (between the plates), } \mathbf{E}_{2}=-(1-h / d) \mathbf{P} / \varepsilon_{0}\\ &\mathbf{D}_{1}=\mathbf{D}_{2}=\mathbf{P} h / d \end{aligned}
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