Two charges of # 1 C # and # 2 C # are at points # (0,1,2) # and # ( 2,5,7)#, respectively. Assuming that both coordinates are in meters, what is the force between the two points?
1 Answer
Jul 18, 2017
Explanation:
We're asked to find the magnitude of the electric force
To do this, we can use the equation
where

#q_1# and#q_2# are the point charges (#1# #"C"# and#2# #"C"# ) , in no particular order 
#k# is Coulomb's constant, equal to#8.988xx10^9("N"·"m"^2)/("C"^2)# 
#r# is the distance between the two point charges, in#"m"#
This distance here can be found by the distance formula:
#r = sqrt((0(2))^2 + (15)^2 + (27)^2)#
Plugging in known values, we have