What is the force, in terms of Coulomb's constant, between two electrical charges of #1 C# and #-2 C# that are #2 m # apart?

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Answer 1 · 2016-04-17T13:42:42

#-K/2#

The strength of electromagnetic force is given by

#F=K(Q_1*Q_2)/r^2#,

where #Q# are the charges and #r# is the distance between them. #K# is Coulomb's constant.

Here, the charges are #1# and #-2#, and they are #2m# apart, so

#F=K(1*-2)/2^2=-2/4K=-K/2#.

Coulomb's constant is

#K=1/(4piepsilon_0)#,

where #epsilon_0# is the permittivity of space.