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As isolated sphere has a capacitance 60 ...

As isolated sphere has a capacitance `60 pF`. (i) Calculate its radius. (ii) How much charge should be placed on it to raise its potential to `10^(4) V` ?

Text Solution

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Here, `C = 60 pF = 60 xx 10^(-12) F`,
`V = 10^(4)V`
(i) `r = (1)/(4pi in_(0)) C = 9xx10^(9)xx60xx10^(-12)`
`= 54xx10^(-2)m = 54m`
(ii) `q = CV = 60xx10^(-12)xx10^(4)`
`= 60xx10^(-8) = 0.6 muC`
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