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26 Nov 2019

On the Axis of a Dipole
A positive charge +q is located on the positive x-axis at x=+a. Anegative charge -q is located on the negative x-axis at x=-a. Takeq= 1.12×10-18 C, and take a= 0.300 nm.
Part A
What is the electric field strength at a point on the positivex-axis which is a distance d from the center of the dipole? Take d=1.80 nm. Hint: Work the answer out symbolically in terms of q, a,and d, and then make your substitutions after doing so; having thesymbolic answer will help you considerably when moving to Part B ofthis question.

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A positive charge +q is located on the positive x-axis at +a. Anegative charge -q is located on the negative x-axis at -a . Takeq= 9.60×10-19C , and take a= 0.300nm .

(a)
What is the electric field strength at a point p on the positivex-axis which is a distance d from the center of the dipole? Take d=1.80nm.

(b)
Apply the binomial expansion to your symbolic expression from PartA to find an approximate expression for the electric field strengthon the axis of the dipole for a distance which is much much largerthan the distance .


My attempt at solving,

(a) Well I am very confused by this problem so I dont think I amapproaching it right at all but here is what I tried.... E1 is theeffect that -q has on p and is equal to kq/(x+a)^2, E2 is theeffect that +q has on p and is equal to kq/(x-a)^2.... since p isto the right of E1 and E2 I did E1 + E2 = E which is the effectthat the dipole has on point p.... My answer was not right and I amconfused and not sure I am on the right track at all.... Any tipswould be great!

Positive charge Q is distributed uniformly along the x-axis fromx=0 to x=a. A positive point charge q is located on the positivex=axis at x = a+r, a distance r to the right end of Q.
 
(a) Calculate the x- and y-components of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a.
 
(b) Calculate the force (magnitude and direction) that the charge distribution Q exerts on q.
 
(c) Show that if r>>a, the magnitude of the force in part (b) is approximately Qq/(4pi epsilon0 r^2). Explain why this result is obtained.

Positive charge Q is distributed uniformly along the positive y-axis between and . A negative point charge lies on the positive x-axis, a distance x from the origin (Figure 1).

Part A: Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis. Express your answer in terms of the variables Q, x, y, a and appropriate constants.

Part B: Calculate the y-component of the electric field produced by the charge distribution Q at points on the positive x-axis. Express your answer in terms of the variables Q, x, y, a and appropriate constants.

Part C: Calculate the x-component of the force that the charge distribution Q exerts on q. Express your answer in terms of the variables Q, q, x, y, a and appropriate constants.

Part D: Calculate the y-component of the force that the charge distribution Q exerts on q. Express your answer in terms of the variables Q, q, x, y, a and appropriate constants.

Positive charge Q is distributed uniformly along t

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