A charge of #-5 C# is at #(1, 3 )# and a charge of #1 C# is at #(8,4 ) #. If both coordinates are in meters, what is the force between the charges?

1 Answer
Doug2100
Mar 7, 2018

#3.6*10^9 N# or #3.6 GN#

Explanation:

You first want to use the coordinates to calculate a distance between the charges.
#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#
The distance between the two charges is #5sqrt2# meters
This will be your radius when calculating for the electric force. The formula for the electric force is
#Fe^(-)=(Kq_1q_2)/r^2#
where #K=9*10^9# and the units for q is in coulombs and the r is in meters.
#Fe^(-)=#(#9*10^9#)(#-5#)(#4)#/#(5sqrt2)^2#

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