Two charges of # -2 C # and # 3 C# are positioned on a line at points # 3 # and # 4 #, respectively. What is the net force on a charge of # -3 C# at # 0 #?

1 Answer
Sep 21, 2017

Answer:

#9.3*10^8 N#

Explanation:

Two charges of #−2C# and #3C# are positioned on a line at points
3 and 4, respectively.

To find the net force on a charge of -3C at 0.

Force on -3C at 0 due to -2C placed at 3.
#F_1=(kq_1q_2)/r^2=(k(-2)(-3))/3^2=(2k)/3#

Force on -3C at 0 due to 3C placed at 4.
#F_2=(kq_1q_2)/r^2=(k(3)(-3))/4^2=(-9k)/16#
Total Force
#F=F_1+F_2=(2k)/3-(9k)/16=(32-27)/48k=5/48k#
#F=5/48*9*10^9=45/48*10^9N=9.3*10^8 N#