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 s = 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) A B (b)

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 s = 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) A B (b)

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A charged particle is located at the center of two concentric conducting spherical shells, as shown below. The inner shell (in blue) has inner and outer radii a and b; the outer shell (in green) has radii c and d. Both shells may also carry a net charge. The plot shows the electric flux of a Gaussian spherical surface centered on the particle as a function of the radius r. Using Gauss’s law and the plot, find expressions for the following (in terms of Φ0): (a) The charge of the particle in the center (b) The net charge on the blue conducting shell (c) The net charge on the green conducting shell