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To what potential, must we charge an in...

To what potential, must we charge an insulated sphere of radius 14 cm so that its surface charge density of `1 muC m^(-2)` ?

Text Solution

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Here `V = ?, r = 14 cm = 14xx10^(-2) m `
`sigma = 1 muC m^(-2) = 10^(-6) Cm^(-2)`
`V = (q)/(4pi in_(0) r) = (1)/(4 pi in_(0)) ((sigma.4 pi r^(2))/(r ))`
`= (1)/(4pi in_(0)) (4pi r sigma)`
`=9xx10^(9)xx4xx(22)/(7)xx14xx10^(-2)xx10^(-6)`
`V = 15840 v`
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