A spherical shell of radius R carries uniform surface charge density σ — JEE Physics
A spherical shell of radius $R$ carries uniform surface charge density $\sigma$. Find the electric field just outside and just inside the shell.
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2mo ago
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Outside ($r > R$): Using Gauss's law with $Q = 4\pi R^2 \sigma$:
$$E_{out} = \frac{\sigma R^2}{\epsilon_0 r^2}$$ , at $r = R^+$: $E = \dfrac{\sigma}{\epsilon_0}$
Inside ($r < R$): No enclosed charge:
$$E_{in} = 0$$
$$E_{out} = \frac{\sigma}{\epsilon_0}$$
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Discussion (4)
S
Adding for context: NCERT covers the base concept in the same chapter.
A
Clean and to the point. Bookmarking this for revision.
VN
This finally made it click for me — thank you!
VA
Great discussion here. If you want more practice on this concept, check the related questions in this category.