physics

posted by .

A charge of 4.00 mC is placed at each corner of a square 1.05 m on a side. Determine the magnitude and direction of the force on each charge.

  • physics -

    q1, q2, q3,q4 –from the lower left corner – counterclockwise.
    Origin of the coordinate system is at the corner where q1 is located.

    F12=k•q1•q2/a² =
    =9•10^9•4•10^-3•4•10^-3/1.05²=
    = 130612 N
    F12x=0, F12y= - 130612 N.

    F13=k•q1•q3/ (a√2)² =
    =9•10^9•4•10^-3•4•10^-3/1.05²•1.41=
    = 92633N
    F13x=F13y= - 92633 •cos45= - 65491 N.

    F14=k•q1•q4/a² =
    =9•10^9•4•10^-3•4•10^-3/1.05²=
    = 130612 N
    F14x= - 130612 N, F14y =0 N.


    F1x= F12x+ F13x +F14x =0 - 65491- 130612 = - 196103 N,
    F1y= F12y+ F13y +F14y = - 130612 – 65491 -0= - 196103 N.
    F1=sqrt(F1x² + F1y²) =sqrt(196103² + 196103 ²) =277331 N.
    tanα = F1y/ F1x= 1
    => along the diagonal of the square, away from each charge.
    The same force acts on each charge

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A charge of 6.00mC is placed at each corner of a square 0.100 m on a side. Determine the magnitude and direction of the force on each charge.
  2. Physics; Elect.

    1. A charge (uniform linear density=9.0 nC/m) is distributed along the x-axis from x=0 to x=3.0m. Determine the magnitude of the electric field at a point on the x axis with x=4.0m. a)81 N/C b)74 N/C c)61 N/C d)88 N/C e)20 N/C 2. A …
  3. Physics

    Two point charges, one of +3.00 10-5 C and the other -5.00 10-5 C are placed at adjacent corners of a square 1.400 m on a side. A third charge of +5.70 10-5 C is placed at the corner diagonally opposite to the negative charge. Calculate …
  4. physics

    a square with side length 2.0 cm has a charge of -1.0x10^-6C at every corner. What is the magnitude and direction of the electric force on each charge?
  5. physics PLEASE HELP

    In the rectangle in the drawing, a charge is to be placed at the empty corner to make the net force on the charge at corner A point along the vertical direction. What charge (magnitude and algebraic sign) must be placed at the empty …
  6. physics PLEASE HELP

    In the rectangle in the drawing, a charge is to be placed at the empty corner to make the net force on the charge at corner A point along the vertical direction. What charge (magnitude and algebraic sign) must be placed at the empty …
  7. physics

    In the rectangle in the drawing, a charge is to be placed at the empty corner to make the net force on the charge at corner A point along the vertical direction. What charge (magnitude and algebraic sign) must be placed at the empty …
  8. Physics

    A charge of 3.93 is placed at each corner of a square 0.470 on a side. Determine the magnitude of the force on each charge.
  9. Physics

    A charge of 3.93 is placed at each corner of a square 0.470 on a side. Determine the magnitude of the force on each charge.
  10. physics

    a charge of 6mC is placed in each corner of a square 1m on each side. determine the magnitude and direction on each side

More Similar Questions