Maximum electric field that can be held in air without producing ionisation of air is 10^7,V/m . max

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2. Electric Potential and Capacitance

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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)

Solution

$\mathrm{E}=10^{7}\, \mathrm{V} / \mathrm{m}$

$r=0.10 \,\mathrm{m}$

$E=\frac{V}{r}$

$V=E r=10^{7} \times \frac{10}{100}$

$\mathrm{V}=10^{6} \,\mathrm{V}$

Standard 12

Physics

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