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The solid metallic sphere is replaced with a hollow insulating shell of radius a. A charge Q is spread uniformly over the hollow spherical shell. What is the electric field strength inside the hollow shell at r = a/2?

Respuesta :

Answer:0

Explanation:

It is given that Q charge is uniformly distributed over hollow spherical shell of radius a

It is clear that all the charge is outside the sphere and there is no charge inside the sphere.

Consider a Gauss surface with radius [tex]r=0.5 a[/tex]

[tex]\oint E\cdot ds=\frac{q}{\epsilon _0}[/tex]

[tex]E\cdot 4\pi (0.5a)^2=\frac{0}{\epsilon _0}[/tex]

as there is no charge inside the Gaussian surface

Therefore Electric field is at r=0.5 a