physics

posted by .

A +5.0 µC charge is placed at the origin and a -3.9 µC charge is placed at x = 25 cm. At what coordinates can a third charge be placed so that it experiences no net force?

  • physics -

    E1=k•q1/(x+ Δx)² (to the right)
    E2= k•q2/(Δx)² (to the left)
    E1= E2
    k•q1/(x+ Δx)² = k•q2/(Δx)²
    q1•(Δx)² = q2• (x+ Δx)²= q2• (x²+ 2•x•Δx + Δx²)
    5• Δx²=3.9(0.0625+0.5 Δx + Δx²)
    1.1 Δx² -1.95• Δx -0.24375 =0
    Δx = {1.95±√(1.95²+4•1.1•0.24375)}/2.2=
    =(1.95±2.21)/2.2= 1.89 m and -0.12m (extraneous root)
    Δx =1.89 m

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A +5.0 µC charge is placed at the origin and a -3.3 µC charge is placed at x = 25 cm. At what coordinates can a third charge be placed so that it experiences no net force?
  2. physics

    A 5.75 µC and a -2.61 µC charge are placed 19.8 cm apart. Where can a third charge be placed so that it experiences no net force?
  3. physics

    A charge of +2.4 × 10−9 C is placed at the origin, and another charge of +4.2 × 10−9 C is placed at x = 2.5 m. Find the point (coordinate) between these two charges where a charge of +3.1 × 10−9 C should be placed …
  4. Physics

    A charge of +2.4 × 10−9 C is placed at the origin, and another charge of +4.2 × 10−9 C is placed at x = 2.5 m. Find the point (coordinate) between these two charges where a charge of +3.1 × 10−9 C should be placed …
  5. physics

    Consider a charge of +2.0 C placed at the origin of an X-Y co-ordinate system and a charge of -4.0 C placed 40.0 cm to the right. Where must a third charge be placed – between the charges, to the left of the origin, …
  6. Physics

    A point charge +6.7 uC is placed at the origin, and a second charge –3.6 uC is placed in the X - Y plane at (0.40 m , 0.55 m ). Where should a third charge be placed in the plane so that the net force acting on it is zero?
  7. 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 …
  8. 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 …
  9. Physics

    If one charge (+5 uC) is placed at origin and a second charge of (+7 uC) at x = 100 cm, then where can a third charge be placed and of what size, so that it has no electrostatic force on it. I know the magnitude of the force will not …
  10. Physics

    one charge of +10 uC is placed at the origin, a second charge of +5uC is placed at (2cm, 4cm) and a third charge (-15 uC) is placed at (4cm, 1 cm). What is the magnitude and direction of the electric force exerted on the first charge …

More Similar Questions