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A conducting sphere of radius 10 cm has ...

A conducting sphere of radius 10 cm has an unknown charges. If the electric field 20 cm from the centre of the sphere is `1.5 xx10^(3) N//C ` and points radially inward, What is the net charges on the sphere?

Text Solution

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Here radius of sphere ` R= 10 cm =0.1 m, `distance of point from the centre of sphere `r=20 cm -0.2 m and `electric field E = ` 1.5 xx 10^(3) N//C `
As `r lt R , `hence E = `(q)/(4pi in _0 r^(2))`
`rArr " " q= E. 4pi in _0r^(2) =(1.5 xx10^(3) xx(0.2)^(2))/(9xx10^(9)) =6.67 xx10^(-9) C or 6.67 nC `
As electric field points radially inward, it means that the charges is negative.
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