The maximum electric field that can be held in air without producing ionisation of air is $10^7\,V/m$. The maximum potential therefore, to which a conducting sphere of radius $0.10\,m$ can be charged in air is
A$10^9\,V$
B$10^8\,V$
C$10^7\,V$
D$10^6\,V$
AIIMS 2010, Medium
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D$10^6\,V$
d $\mathrm{E}=10^{7}\, \mathrm{V} / \mathrm{m}$
$r=0.10 \,\mathrm{m}$
$E=\frac{V}{r}$
$V=E r=10^{7} \times \frac{10}{100}$
$\mathrm{V}=10^{6} \,\mathrm{V}$
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