Two point charges (q 1 = -2.1?C and q 2 = 7.7 ?C) are fixed along the x-axis, se

Question

Two point charges (q1 = -2.1?C and q2 = 7.7 ?C) are fixed along the x-axis, separated by a distance d = 6.8 cm.  Point P is located at (x,y) = (d,d).          

1)

2)

3)

A third point charge q3 =  3.6 ?C is now positioned along the y-axis at a distance d = 6.8 cm from q1 as shown.  What is Ex(P), the x-component of the field produced by all 3 charges at point P?

4)

5)

Two point charges (q1 = -2.1?C and q2 = 7.7 ?C) are fixed along the x-axis, separated by a distance d = 6.8 cm. Point P is located at (x,y) = (d,d).

Explanation / Answer

1)

Ex = 9*10^9*(-2.1*10^-6)/(0.68^2+0.68^2)*cos(45 degree) = -14451.036 N/C

2)

Ey = 9*10^9*7.7*10^-6/0.68^2+9*10^9*(-2.1*10^-6)/(0.68^2+0.68^2)*cos(45 degree) = 135419.206 N/C

3)

Ex = 9*10^9*3.6*10^-6/0.68^2-14451.036 = 55618.168 N/C

4)

Its magnitude will double and its direction will remain the same

5)

There is no change you can make to q1 that will result in the electric field at point P being equal to zero.

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