Physics

posted by .

Sphere A, with a charge of +64 C, is positioned at the origin. A second sphere, B, with a charge of -16 C, is placed at +1.00 on the x-axis. Where must a third sphere, C, of charge +12 C, be placed so that there is no net force on it?

  • Physics -

    F=0 if E = 0
    The point is located to the right from the second charge at the distance ‘x’ =>
    kq₁/(X+x)² =kq₂/x²
    X=1
    64/(1+x)² = 16/ x²,
    3x²-2x-1 =0 ,
    x={2±sqrt(4+12)}/6.
    x₁=1, x₂=-1/3 (※)
    Ans: Coordinate of the point is X+x =1+1 =2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Neutral metal sphere A, of mass 0.10kg, hangs from an insulating wire 2.0m long. An identical metal sphere B, with charge -q is brought into contact with sphere A. Sphere A goes 12 degrees away from Sphere B and there is a 90 degree …
  2. physics

    consider three identical metal spheres a b and c. sphere a carries a charge of +5q. sphere b carries a charge of -q. sphere c carries no net charge. spheres a and b are touched together and then separated. sphere c is touched to sphere …
  3. PHYSICS

    Three small spheres are placed at fixed points along the x-axis, whose positive direction points towards the right. Sphere A is at x = 23.0 cm, with a charge of -10.00 ìC. Sphere B is at x = 55.0 cm, with a charge of 2.00 ìC. Sphere …
  4. PHYSICS

    Three small spheres are placed at fixed points along the x-axis, whose positive direction points towards the right. Sphere A is at x = 23.0 cm, with a charge of -10.00 microCoulomb Sphere B is at x = 55.0 cm, with a charge of 2.00 …
  5. physics

    1.) A small sphere of charge 2.4 μC experience a force of 0.36 N when a second sphere of unknown charge is placed 5.5 cm from it. What is the charge of the second sphere?
  6. physics

    in an experiment using Coulomb's apparatus, a sphere with a charge of 3.6 x 10^-8 C is 1.4 cm from a second sphere of unknown charge. The force between the spheres is 2.7 x 10^-2 N. What is the charge of the second sphere?
  7. Physics

    Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial charge of -26e) and then they are separated. Finally, sphere W is touched to sphere …
  8. Physics

    Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial charge of -26e) and then they are separated. Finally, sphere W is touched to sphere …
  9. 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, …
  10. physics

    A +5.7 C and a -3.5 C charge are placed 25 cm apart. Where can a third charge be placed so that it experiences no net force?

More Similar Questions