A hollow insulated conduction sphere is given | vedclass

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Question

Charge resides on the outer surface of a conducting hollow sphere of radius $R$. We consider a spherical surface of radius $\mathrm{r}<\mathrm{R}$

Vedclass · Accepted Answer

$0$

Vedclass · Answer

Charge resides on the outer surface of a conducting hollow sphere of radius $R$. We consider a spherical surface of radius $\mathrm{r}<\mathrm{R}$ By Gauss theorem

$\int_{5}^{\frac{\pi}{E} \cdot \vec{d} s}=\frac{1}{\varepsilon_{0}} 	imes$ charge enclosed or

$\mathrm{E} 	imes 4 \pi \mathrm{r}^{2}=\frac{1}{\varepsilon_{0}} 	imes 0 \Rightarrow \mathrm{E}=0$

i.e., electric field inside a hollow sphere is zero.

A hollow insulated conduction sphere is given a positive charge of $10\,\mu C$. What will be the electric field at the centre of the sphere if its radius is $2\,m$ ?................$\mu Cm^{-2}$

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