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What is the magnitude of a point charge ...

What is the magnitude of a point charge choosen ,so that the electric field 0.5 m away has the magnitude of 2 N/ C ?

Text Solution

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Electric field , E = 2 N/C
Distance , x = 0.5 m
Let the charge be q , then `E = (1)/(4 pi epsi_(0)) (q)/(x^2) implies 2 = (9 xx 10^(9) xx q)/((0.5)^(2))`
`implies 2 xx 0.25 = 9 xx 10^(9) xx q`
`implies q = (2 xx 0.25)/(9 xx 10^(9))`
`implies q = 5.56 xx 10^(-11) C`
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