A hollow insulated conduction sphere is given a positive charge of 10,μ C . What will be electric f

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1. Electric Charges and Fields

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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 $2\,m$ ?................$\mu Cm^{-2}$

$0$

$5$

$20$

$8$

Solution

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

$\int_{5}^{\frac{\pi}{E} \cdot \vec{d} s}=\frac{1}{\varepsilon_{0}} \times$ charge enclosed or

$\mathrm{E} \times 4 \pi \mathrm{r}^{2}=\frac{1}{\varepsilon_{0}} \times 0 \Rightarrow \mathrm{E}=0$

i.e., electric field inside a hollow sphere is zero.

Standard 12

Physics

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normal

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 $2\,m$ ?................$\mu Cm^{-2}$

Solution

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