Question

A dipole is made of a rod of length d with charge +q on one end...

A dipole is made of a rod of length d with charge +q on one end and −q on the other. You place it lying along the y-axis with its center at y >> d, so the +q charge is at (0, y + d/2, 0) and the −q charge is at (0, yd/2, 0). A test charge of magnitude +Q is placed at the origin. Find a simple (monomial) approximate expression for the magnitude of the net force on the dipole. (Use any variable or symbol stated above along with the following as necessary: ke.)

F ≈ ?

* correct answer is 2k_edQqy^{-3}, but why?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

tra (0, ytdh) -9 & 10,9-0/2) KaQ kqQ : lule - kqa [ Interja ya se]kad (y-2)² -(y + 2)2 7 = lead yr - gd - y2 dagd (42-44) keda (-2yd) = 2kd qdy y»d = y 2 ² 2kda dy

Add a comment
Know the answer?
Add Answer to:
A dipole is made of a rod of length d with charge +q on one end...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • hello, can you please help me out with number 3 and the rest of number 2...

    hello, can you please help me out with number 3 and the rest of number 2 Thank you : ) My Notes 3. 1/4 points | Previous Answers ole is made of a rod of length d with charge +q on one end and -q on the other. You place it lying along the y-axis with its center at y> + d/2, 0) and the -q charge is at (0, y - d/2, 0). A test charge of magnitude +Q...

  • Consider a wide, nearly flat square with uniform charge density p. The square is centered at...

    Consider a wide, nearly flat square with uniform charge density p. The square is centered at the origin and is lying parallel to the xy plane. It has side length a and thickness h h<<a, so the top surface of the square is at z=h/2 and the bottom is at z=-h/2. Find a simple approximate (monomial) expression for the magnitude of the electric field on the z-axis for (1). 0 < z < h/2 (2). h/2 < z << a...

  • A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below.

    A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.) (a) Find the components of the electric field at the point P on the y axis a distance d from the origin (b) What are the approximate values of the field components when d >> L? 

  • A uniformly charged rod of length L and total charge Q lies along the x axis as shown in the figure below. (Use the following as necessary: Q, L, d, and ke)

    A uniformly charged rod of length L and total charge Q lies along the x axis as shown in the figure below. (Use the following as necessary: Q, L, d, and ke) (a) Find the components of the electric field at the point P on the y axis a distance d from the origin(b) What are the approximate values of the field components when d >>L? Explain why you would expect these results.

  • Two positive charges each of charge q are fixed on the y-axis, one at y =...

    Two positive charges each of charge q are fixed on the y-axis, one at y = d and the other at y = -d as in the figure shown below. A third positive charge 27 located on the x-axis at x = 2d is released from rest. 9 + 29 d 24 +-* (a) Find a symbolic expression for the total electric potential due to the first two charges at the location of the charge 2q. (Use any variable or...

  • Two positive charges each of charge q are fixed on the y-axis, one at y =...

    Two positive charges each of charge q are fixed on the y-axis, one at y = d and the other at y = -d as in the figure shown below. A third positive charge 29 located on the x-axis at x = 2d is released from rest. a + 24 (a) Find a symbolic expression for the total electric potential due to the first two charges at the location of the charge 2g. (Use any variable or symbol stated above...

  • A point charge +2Q is at the origin and a point charge −Q is located along...

    A point charge +2Q is at the origin and a point charge −Q is located along the x axis at x = d as in the figure below. Find a symbolic expression for the net force on a third point charge +Q located along the y axis at y = d. (Use the following as necessary: ke, the Coulomb constant, Q, and d.) net =_____________

  • Four point charges each having charge Q are located at the corners of a square having...

    Four point charges each having charge Q are located at the corners of a square having sides of length a. (a) Find an expression for the total electric potential at the center of the square due to the four charges. (Use any variable or symbol stated above along with the following as necessary: ke.) V =   (b) Find an expression for the work required to bring a fifth charge q from infinity to the center of the square. (Use any...

  • A finite rod of length L has total charge q, distributed uniformly along its length.

    Potential of a Finite RodA finite rod of length L has total charge q, distributed uniformly along its length. The rod lies on the x-axis and is centered at the origin. Thus one endpoint is located at (-L/2,0), and the other is located at  (L/2,0). Define the electric potential to be zero at an infinite distance away from the rod. Throughout this problem, you may use the constant k in place of the expression .a) What is VA, the electric potential...

  • Four point charges each having charge Q are located at the corners of a square having...

    Four point charges each having charge Q are located at the corners of a square having sides of length a (a) Find a symbolic expression for the total electric potential at the center of the square due to the four charges (Use any variable or symbol stated above along with the following as necessary: ke.) total = | 5.657皿 (b) Find a symbolic expression for the work required to bring a fifth charge p from infinity to the center of...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT