Physics

posted by .

Two point charges, 5.0 µC and -2.0 µC, are placed 5.0 cm apart on the x axis, such that the -2.0 µC charge is at x = 0 and the 5.0 µC charge is at x = 5.0 cm. At what point(s) along the x axis is the electric field zero?
I'm not exactly sure how i should go by solving this.

  • Physics -

    First of all, recognize that the point cannot be between x = 0 and x = 5, because the E fields due to the two particles will be in the same direction and cannot cancel each other. In the x > 5 region, the E field due to the -2 uC charge will be less everywhere, so camncellation is not possible. The location will have to be in the x <0 region.

    In the x < 0 region,

    -2 k/ x^2 + 5k /(5-x)^2 = 0

    5/(5-x)^2 = 2/x^2
    5x^2 = 50 -20x +2x^2
    3x^2 +20x -45 = 0

    Take the root x that is < 0. This does not factor easily.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    Two point charges are placed on the x axis as follows: Charge q1= +4.00 nC is located at x= 0.200 m, and charge q2= +5.00nC is at x= -0.300 m. What are the magnitude and direction of the net force exerted by these two charges on a …
  2. PHYSICS

    Two point charges, 6.0 µC and -2.0 µC, are placed 6.0 cm apart on the x axis, such that the -2.0 µC charge is at x = 0 and the 6.0 µC charge is at x = 6.0 cm. (a) At what point(s) along the x axis is the electric field zero?
  3. physics

    Two point charges +4q and +q are placed 30 cm apart. At what point on the line joining them is the electric field zero?
  4. physics

    Two point charges +4q and +q are placed 30 cm apart. At what point on the line joining them is the electric field zero?
  5. PHYSICS

    Two point charges are placed on the x axis as follows: Charge q1= 4.20 is located at x= 0.185 , and charge q2= 4.80 is at x= -0.280 . What are the magnitude and direction of the net force exerted by these two charges on a negative …
  6. SIMPLE pHYsics....

    Two positive point charges are placed on the x-axis. One, of magnitude 4Q, is placed at the origin. The other, of magnitude Q is placed at x=3 m. Neither charge is able to move. Where on the x-axis in meters can I place a third positive …
  7. Physics

    Two positive point charges are placed on the x-axis. One, of magnitude 4Q, is placed at the origin. The other, of magnitude Q is placed at x=3 m. Neither charge is able to move. Where on the x-axis in meters can I place a third positive …
  8. Physics (Electricity & Magnetism))

    Two positive point charges are placed on the x-axis. One, of magnitude 4Q, is placed at the origin. The other, of magnitude Q is placed at x=3 m. Neither charge is able to move. Where on the x-axis in meters can I place a third positive …
  9. Physics

    Two positive point charges are placed on the x-axis. One, of magnitude 4Q, is placed at the origin. The other, of magnitude Q is placed at x=3 m. Neither charge is able to move. Where on the x-axis in meters can I place a third positive …
  10. Physics

    Two point charges, 3.0 µC and -2.0 µC, are placed 4.8 cm apart on the x axis, such that the -2.0 µC charge is at x = 0 and the 3.0 µC charge is at x = 4.8 cm. At what point(s) along the x axis is the potential zero?

More Similar Questions