Three identical point charges of magnitude +1.0mC are located at the corners of

Question

Three identical point charges of magnitude +1.0mC are located at the corners of a square that is 1.m on a side. A point charge of magnitude -1.5mC is placed at the remaining corner.

1) What is the magnitude of the force acting on the negative point charge?

2) What is the electric field strength at a point halfway between two adjacent positive charges?

3) What is the size of the force acting on one of the positive charges adjacent to the negative charge?

4) What is the electric field strength at the center of the square?

Please help by showing work.

Explanation / Answer

1)force acting on negative point charge is F= F1+F2+F3

F= K (1*1.5)/12+1*1.5)/12+1*1.5)/2*12)

F = 9*109*[1.5+1.5+0.75]10-3= 33.75 106 N

2)

Electric field,E=k (q1+q2+q3+q4)/r^2
=9x10^9x(1+1+1-1.5)x10^-3/1^2
=1.35x10^7 N/C

3) what you mean by the size of the force, ???

4)

The fields E = E1 + E2 + E3 + E4

   | E | = | E1 |+| E2 | + | E3 |-| E4 |

= (k x | Q1 |) / r2 + (k x | Q2 |) / r2 +(k x | Q3 |) / r2 -(k x | Q4 |) / r2and

r = (21/2) (0.5 m)= 0.7071 m

   | E | = [ (9.0 x 10 9 Nm2/C2) / [0.70712 ] x (1 + 1+1-1.5)*10-3
   | E | = 27 x 10 6 N/C

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