- #1
ubergewehr273
- 142
- 5
There's this problem 2.18 in the book "Introduction to electrodynamics" by Griffith.
The problem says the following,
"Two spheres, each of radius R and carrying uniform charge densities ##+\rho## and ##-\rho##, respectively, are placed so that they partially overlap (Image_01). Call the vector from the positive center to the negative center d. Show that the field in the region of overlap is constant, and find its value."
Well, I was able to solve the problem as expected from the book, however, I wondered why the field in the region of overlap has to be a non-zero quantity. I could very well take a spherical Gaussian surface that resides inside the region of overlap, and since the net charge enclosed in this region is 0, hence the electric field ought to be zero (refer Image_02). Where am I going wrong over here?
PFA the corresponding images.
The problem says the following,
"Two spheres, each of radius R and carrying uniform charge densities ##+\rho## and ##-\rho##, respectively, are placed so that they partially overlap (Image_01). Call the vector from the positive center to the negative center d. Show that the field in the region of overlap is constant, and find its value."
Well, I was able to solve the problem as expected from the book, however, I wondered why the field in the region of overlap has to be a non-zero quantity. I could very well take a spherical Gaussian surface that resides inside the region of overlap, and since the net charge enclosed in this region is 0, hence the electric field ought to be zero (refer Image_02). Where am I going wrong over here?
PFA the corresponding images.