4Q. A capacitor of dielectric constant & at voltage of V, has an embedded charge layer...

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4Q. A capacitor of dielectric constant & at voltage of V, has an embedded charge layer of surface/interfacial charge density Pse. The charge layer is a distance dz from the grounded electrode and d from the driven electrode (a = d + d2). For this problem the fields are assumed to always be perpendicular to the electrodes and charge layer. z= a = d, +d LE, -- z=dz E2 V. z = 0 a. Develop an expression for the electric field as a function of the voltage, embedded charge and d distance of the embedded charge from the ground electrode. b. Determine the capacitance per unit area by Approach I for pe a constant. (That is, p does not depend on Vo.) You will need to use C=0Q10V, 4Q. A capacitor of dielectric constant & at voltage of V, has an embedded charge layer of surface/interfacial charge density Pse. The charge layer is a distance dz from the grounded electrode and d from the driven electrode (a = d + d2). For this problem the fields are assumed to always be perpendicular to the electrodes and charge layer. z= a = d, +d LE, -- z=dz E2 V. z = 0 a. Develop an expression for the electric field as a function of the voltage, embedded charge and d distance of the embedded charge from the ground electrode. b. Determine the capacitance per unit area by Approach I for pe a constant. (That is, p does not depend on Vo.) You will need to use C=0Q10V,