3 charged particles are placed at the corners of an equilateral triangle of side d = 1.15 m. Q1 = +4.0 µC  Q2= -6.0 µC Q3 = -6.0 µC. Calculate the...

3 charged particles are placed at the corners of an equilateral triangle of side d = 1.15 m. Q1 = +4.0 µC  Q2= -6.0 µC Q3 = -6.0 µC.










Calculate the magnitude and direction of the net force on each due to the other two.

Force on Q1: N at ° counterclockwise from +x axis (to the right)
Force on Q2: N at ° counterclockwise from +x axis (to the right)
Force on Q3: N at ° counterclockwise from +x axis (to the right)

Asked on by gbaker125

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neela | High School Teacher | (Level 3) Valedictorian

Posted on

The charge on Q1 by Q2 and Q3 are (1/4pie0)*Q1Q2/d^2 and (4pie0)^(-1)*Q1Q3/d^2 = 0.163327N

9*10^9*4*6*10^(-12)/1.15^2 =  0.163327N attraction as the charges are different, and

9*10^9*4*6*(10^(-12)/1.15^2 = 0.163327N attraction as the charges are different.

Therefore the net force is of the two equal magnitude force with 60 deg between  by law of parallelogram is  (0.163327)2cos30 = 0.282890717 N  with 270 degree to X axis.

In a similar way we can show that the force on Q2 is 0.282990717N acting 30 degree to X axis.

In a similar way we can show that the force on Q3 is 0.282990717N acting 150 degree to X axis.

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