physics

A rectangle has a length of 2d and a height of d. Each of the following three charges is located at a corner of the rectangle: +q1 (upper left corner), +q2 (lower right corner), and -q (lower left corner). The net electric field at the (empty) upper right corner is zero. Find the magnitudes of q1 and q2. Express your answers in terms of q.

I'm really lost at how to do tackle this problem. I know that an electric field is zero at infinity for positive charges but I don't know how to show it.

  1. 👍 0
  2. 👎 0
  3. 👁 260
asked by Daniel
  1. The horizontal E-field component at the empty corner is due to q1 and q only. For it to be zero,
    q1/4d^2 = [q/(5d^2)]*(2/sqrt5)

    The last term in parentheses is the cosine of the angle that the diagonal makes with the horizontal axis.

    q1 = (4/5)(2/sqrt5) = 0.7155 q

    The vertical E-field component at the empty corner is due to q2 and q only. For it to be zero,
    q2/d^2 = [q/(5d^2)]*(1/sqrt5)
    q2 = (1/5)(1/sqrt5) q = 0.0894 q

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A mechanical engineering student wishes to inscribe a rectangle in a quarter circle of radius 2.00 cm. Determine the dimensions of the rectangle that will give it the greatest area. length in cm = height in cm = My attempt on find

    asked by Ashley on January 29, 2013
  2. calculus

    the base of a triangle is 2 cm shorter than the width of a rectangle. The rectangle's length is 4 times its width and the triangle's height is the same as the rectangle's length. find the area of both figures if the difference of

    asked by Anonymous on September 8, 2010
  3. algebra , help

    Can someone help me set up the equations thanks. Directions: Solve each of the following applications. Give all answers to the nearest thousandth. Problem: Geometry. The length of a rectangle is 1 cm longer than its width. If the

    asked by jas20 on February 20, 2007
  4. Geometry

    rectangle FGHK The length of FH is 9 cm. What is the length of GK? C is the center of the rectangle 4 is the height 4.5 measure from F to C 4.5 from H to C

    asked by Z on April 1, 2018
  5. algebra

    sooo confusing... 6. (¼ + 7/8)(9/13) A81/13 B17/104 C81/104 D17/29 E17/13 F17/25 7. [6(2+1) -6(1+1)] / [6(4-2) - 22 ] A3/2 B3/4 C3/5 D3 E1/3 F2/3 8. -3(y – 5) - (-2y + 1) A-y +14 B5y - 4 C-5y + 14 D-13y E-5y -6 F-y – 4 For

    asked by whitney on September 8, 2010
  6. Math

    You have 300 meters of fencing with which to build two enclosures. One will be a square, and the other will be a rectangle where the length of the base is exactly twice the length of the height. Give the dimensions of the square

    asked by KK on June 5, 2012
  7. calculus

    A rectangle is to be inscribed in a right triangle having sides of length 36 in, 48 in, and 60 in. Find the dimensions of the rectangle with greatest area assuming the rectangle is positioned as in the accompanying figure. right

    asked by Mely on July 31, 2010
  8. Calculus

    A rectangle is bounded by the x-axis and the semicircle y=ã(25-x^2). Question is, what length and width should the rectangle have so that its area is a maximum, and what is the maxuimum area? Area= length*width = 2x*y=

    asked by Tezuka on October 6, 2006
  9. geometry

    A rectangle has a length of 9inches and a height of 1.5 feet. What is the area of the rectangle in square inches?

    asked by Kay on March 13, 2012
  10. 6th grade math

    if the area of a rectangle is 20 square units and the length of the base to the height are in a ratio of 5:1 what is the perimeter of the rectangle ?

    asked by nettie <3 on March 16, 2010
  11. math

    a right rectangle and a right triangle prism have the same height. If the lenght of the side of the rectangle base is twice the width, explain how to determine the area of the triangular base in terms of the rectangle base length.

    asked by Donna on February 27, 2010

More Similar Questions