A charge of #3 C# is at #(4 ,7 )# and a charge of #1 C# is at #(2 , 4 ) #. If both coordinates are in meters, what is the force between the charges?
1 Answer
Explanation:
We're asked to calculate the magnitude of the electric force between two point charges, for which we can use the equation
where

#k# is Coulomb's constant, equal to#8.988xx10^9("N"•"m"^2)/("C"^2)# 
#q_1# and#q_2# are the two point charges (no particular order), in coulombs,#"C"# 
#r# is the distance between the two charges, in meters,#"m"#
The distance between the two point charges is found using the distance formula:
Plugging in our known values, we have