Charged Conducting SpheresElectric Field at the Center12 Sho

Charged Conducting Spheres-Electric Field at the Center12 Shown below are six hollow spheres of different sizes made of an electrically conducting material such as copper. On each sphere there is a c distributed evenly over the sphere. Each figure is each other). as given in the figure, which is of the others (they do not affect Rank these situations, from greatest to least, on the basis of the magnitude of the electric field at the center of the sphere. 2R 3R g-30 y+20 2R Or, the magnitude of the electric field at the center is the same (but no zero) for these cases Or, the magnitude of the electric field at the center is zero for these cases. Please carefully explain your reasoning. How sure were you of your ranking? Basically Guessed (circle one) Very Sure 10 1C Hieggelke, T. O\'Kuma Ranking Task Exercises in Physics: Student Edition 127

Solution

As all the spheres are hollow spheres and charge is distributed on the surface the electric field at the center is

zero.

Reason: using Gauss law if we construct a gaussian surface around the center the charge enclosed is zero.So the electric field is zero for all spheres at the center

E.da=Q_enc/₀ =0