How far apart in a vacuum must two charges of one coulomb be placed in order to produce a force of 1000N between them?

1 Answer
A08
May 1, 2017

#2.998xx10^3m#

Explanation:

Coulomb's force between two charges #q_1# and #q_2# is

#F_c=k_e(q_1q_2)/r^2#
where #k_e# is Coulomb's constant #= 8.99×10^9 " Nm"^2 "C"^-2#, and scalar #r# is the distance between two charges.

Inserting given values we get
#1000=8.99×10^9(1xx1)/r^2#
#=>r^2=8.99×10^9xx(1)/1000#
#=>r=sqrt(8.99×10^6)#
#=>r=2.998xx10^3m#

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