Work out? Two identical charged bodies are 3 cm apart exert a force of #4 × 10^-4\ "N"# on each other. The charge on each body is_______? Thanks

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Answer 1 · 2018-06-07T11:25:11

#"6.32 nC"#

From Coulomb’s Law

#"F" = ("kq"_1"q"_2)/"d"^2#

It’s given that bodies are identically charged. So, #"q = q"_1 = "q"_2#

#"F" = "kq"^2/"d"^2#

From above

#"q = d"sqrt("F"/"k")#

#color(white)("q") = "0.03 m" × sqrt((4 × 10^-4\ "N")/(9 × 10^9\ "N m"^2"/C"^2))#

#color(white)("q") = 6.32 × 10^-9\ "C"#

#color(white)("q") = 6.32\ "nC"#