Determine the vorticity of the 2D flow field described by: V = (4xy + x² )i + (- 2xy-2y²) ₁ is the flow physically possible?

Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by = 6.0 x 105 N-m²/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? (a) B (105 N·m²/C) e -Os r

Below is a graph of electric flux as a function of sphere radius r. What is the symbolic value of r at point P where the two sections meet?

Problem 2 Consider the Gaussian surface shown in Figure 2. A uniform external electric field E, having magnitude 3.20 x 103 N/C and parallel to the xz plane with an angle of 36.87° measured from the +x axis toward the +z axis, enters through face 1 (back face). In addition, a uniform electric field E, of magnitude 6.40 x 103 N/C traveling in the same direction as E, , flows outwardly through face 2 (front face). 0,45 m 0,30 m En 0.50 m Figure 2. Gaussian surface in the form of a prism through which two fields pass.