A charge of #2 C# is at #(3 ,7)# and a charge of #1 C# is at #( 3 ,5 )#. If both coordinates are in meters, what is the force between the charges?
1 Answer
Jun 7, 2017
Answer:
Explanation:
We're asked to find the electric force acting between two point charges.
To find the magnitude of the force
where
#k# is the Coulomb's law constant, equal to
#8.988 xx 10^9 ("N" · "m"^2)/("C"^2)#

#q_1# and#q_2# are the two point charges (in#"C"# ), in any order 
#r# is the distance (in#"m"# ) between the two charges
to find this, we simply find the distance between the two given coordinates:
#r = sqrt((3  3)^2 + (75)^2) = color(red)(2# #color(red)("m"#
Plugging in our known values, we have