Tutorial Exercise Consider a thin, spherical shell of radius 15.5 cm with a total charge of 28.1 μC distributed uniforml

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Tutorial Exercise Consider a thin, spherical shell of radius 15.5 cm with a total charge of 28.1 μC distributed uniformly on its surface. (a) Find the electric field 10.0 cm from the center of the charge distribution. (b) Find the electric field 22.5 cm from the center of the charge distribution. Part 1 of 3 - Conceptualize The field inside the shell should be zero. The field outside the shell is the same as the field created by a charged particle located at the center of the shell. Both of these results follow from the spherical symmetry in the situation. Part 2 of 3 - Categorize We know that the field is directed radially outward and that it is uniform in magnitude over any sphere concentric with the shell. We will use spherical gaussian surfaces through the field points to find the magnitudes of the field at these points. Part 3 of 3-Analyze (a) A gaussian sphere with a radius less than the radius of the spherical shell encloses zero charge. Since we are asked for the magnitude of the electric field at 10.0 cm inside the shell, we have N/C)P (b) For a gaussian sphere of radius 22.5 cm, we apply the following equation. din DE -fi- dA By symmetry, E is constant everywhere on the surface of the shell and is directed radially outward, so 4x³E=q/.Because k = 1/(4x), we have the following. EM (8.99 × 109 Nm²/C²) x 10-6 c) In vector notation, * 10% NUC). Submit Skip you cannot come back