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# A point charge $q$ is located at the center of a spherical shell of radius $a$ that has a charge $-q$ uniformly distributed on its surface. Find the clectric ficld (a) for all points outside the spherical shcll and (b) for a point inside the shell a distance $r$ from the centsr.

## $\frac{\overline{k_{e} q}}{r^{2}}$

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### Video Transcript

but a off the given problem. The electric field Times area times Course that, uh for us. Fair the surface eighties off electric field for by our square times, of course, off zero Those electric field and 80 eights pillars of the end of the zero. This gives us off key terms for by our screw. These are flux. Food are which is greater than hey, that means outside outside the show The show So the tour, the total charged enclosed by the ocean surface, is accused Small Q minus Q zero for from girls is law. That is a e times for by our square zero that means this cannot be zero. So electric field is zero But me again for the flux that Izzy times a coast better So eve for by our square for angle zero for our less than A This means inside the show inside the shell show the charging clothes curing closed is plus cute. Therefore we can write e ties for by our square is a Colt Kun, Do I? It's a lawn from here even recall two Okay, you do Why? There are school. We're okay is equal to one. We're four by its own lawn. The field for this case on less than a is directly, readily, very dearly. Oh, toward oh good for our, for our less than he.

Wesleyan University