Q3/ Let Region 1 (z < 0) be composed of a uniform dielectric material for which &, = 3.2, while Region 2 (z > 0) is characterized by & 2. Let D₁ = -30ax + 50ay + 70az nC/m² and find D₂.

a. There's only an ax component b. There's only an ax and ay component y c. There's only an - ax component d. There's only an - ax and ay component e. None of the above 2 C/m 13. For the figure above, a half ring located at z = 0 possesses a charge density and induces E onto a point located at the origin. The following can be determined about E induced at the origin. (select only one) X

1) Suppose the capacitor plates have a meaured diameter of (0.210+/-0.001) m and a plate separation of (0.020 +/- 0.001)m. Calculate the capacitance (including uncertainty) of the variable capacitor.  2) The separation (d) for the capacitor in Problem 1 is aried and the capacitance is meauresd for 5 separations. Thes points are recorded in the following table: Note: The Table is in the image. A) Calculate the reciprocal of the separation and prepare a new table that has the separation, reciprocal of the separation and capacitance. Do not calculate uncertainties for the reciprocal separation. B)Plot on graph paper the capacitance vs. the reciprocal separation. C) Determine the slope of this line. D) Use the diameter of the plates from Problem 1 and the slope from part C of the problem to calculate the value of esub0 from this data.

Derive the capacitance for a parallel CIRCULAR plate capacitor d distance apart.