See the figure (http://s19.postimage.org/46mlg3ntv/Exam2_No2.png). The metal pla

Question

See the figure (http://s19.postimage.org/46mlg3ntv/Exam2_No2.png). The metal plates have area A and are separated by distance d, with d much smaller than the lateral dimensions. Express all answers as functions of A and d. The plates are connected to the terminals of a 12-volt battery, as shown.
(A) Determine the electric field in the space between the plates.
(B) Determine the charge on the upper plate.
(C) Determine the charge on the lower plate.
(D) Determine the energy density, i.e., the ratio of energy to volume, for the electric field.
(E) Calculate the energy density if the electric field is 1.0

Explanation / Answer

A. E = 12/d volts per meter, assuming d is in meters. B. Capacitance is: Parallel plate cap C = e0e?(A/d) in Farads e0 is 8.854e-12 F/m e? is dielectric constant (vacuum or air = 1) A and d are area of plate in m² and separation in m Q = CV = 12C = 12e0(A/d) C. same as B

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