A capacitor of dielectric constant ? at voltage of V o has an embedded charge la
ID: 2990322 • Letter: A
Question
A capacitor of dielectric constant ? at voltage of Vo has an embedded charge layer of surface/interfacial charge density ?se. The charge layer is d2 from the grounded electrode and d1 from the driven electrode (a = d1 + d2). For this problem the fields are assumed to always be perpendicular to the electrodes and charge layer.
a. Develop an expression for the electric field as a function of the voltage, embedded charge and d2 distance of the embedded charge from the ground electrode.
b. How does the result in a. differ from an ideal parallel plate capacitor?
c. Assume the charge density depends on the voltage as ?se = ?Vo. Develop an expression for the capacitance per unit area.
d. How does the result in c. differ from an ideal capacitor? How does the capacitance change with distance d2? Consider both for positive and negative embedded charge.
A capacitor of dielectric constant ? at voltage of Vo has an embedded charge layer of surface/interfacial charge density ?se. The charge layer is d2 from the grounded electrode and d1 from the driven electrode (a = d1 + d2). For this problem the fields are assumed to always be perpendicular to the electrodes and charge layer. a. Develop an expression for the electric field as a function of the voltage, embedded charge and d2 distance of the embedded charge from the ground electrode. b. How does the result in a. differ from an ideal parallel plate capacitor? c. Assume the charge density depends on the voltage as ?se = ?Vo. Develop an expression for the capacitance per unit area. d. How does the result in c. differ from an ideal capacitor? How does the capacitance change with distance d2? Consider both for positive and negative embedded charge.Explanation / Answer
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