Define electric flux. Write its SI …
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Define electric flux. Write its SI unit.
Gauss' law in electrostatics is true for any closed surface, no matter what its shape or size is. Justify this statement with the help of a suitable
example.
(ii) Use Gauss' law to prove that the electric field inside a uniformly charged spherical shell is zero.
Posted by Maahnoor Quraishi 2 years, 6 months ago
- 2 answers
Mayank Chauhan 2 years, 6 months ago
The no. Of electric field lines passing through a area vector perpendicularly
Its S.I unit is Nm²per C
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Preeti Dabral 2 years, 6 months ago
The charge resides on the surface of a conductor. Thus, a hollow charged conductor is equivalent to a charged spherical shell. Let's consider a spherical Gaussian surface of radius (r < R). If E is the electric field inside the shell, then by symmetry electric field strength has the same magnitude Ei on the Gaussian surface and is directed radially outward.
Electric flux through the Gaussian surface is given by,
=∫s→Ei⋅d→S
=∫EidScos0=Ei.4πr2
Now, Gaussian surface is inside the given charged shell, so charge enclosed by Gaussian surface is zero.
Therefore, using Gauss's theorem, we have
∫S→Ei⋅d→S=1ϵ0× charge enclosed
⇒Ei⋅4πr2=1ϵ0×0
⇒ Ei = 0
Thus, electric field at each point inside a charged thin spherical shell is zero.
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