   # A point charge +2 Q is at the origin and a point charge − Q is located along the x axis at x = d as in Figure P22.11. Find a symbolic expression for the net force on a third point charge + Q located along the y axis at y = d . Figure P22.11 ### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553292

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553292
Chapter 22, Problem 11P
Textbook Problem
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## A point charge +2Q is at the origin and a point charge −Q is located along the x axis at x = d as in Figure P22.11. Find a symbolic expression for the net force on a third point charge +Q located along the y axis at y = d.Figure P22.11 To determine

The symbolic expression for the net force on a third point charge +Q located along the y=d .

### Explanation of Solution

Given Info: The first point charge +2Q located at the origin and the second point charge Q located along x -axis at x=d .

The given diagram is shown below.

Figure (1)

The force acting on +Q charge due to the +2Q charge is,

F1=K(2Q)(Q)d2j^=2KQ2d2j^

Here,

2Q is the first point charge.

Q is the third point charge.

d is the distance between point charges.

K is the constant.

The direction of force is along the y -axis then the unit vector is introduced along the y direction.

The expression for the distance between second and third point charges is given as,

d2=d2+d2=2d2d=2d

The electrical force acting on the +Q charge due to Q Charge is,

F2=K(Q)(Q)(d)2((cosθ)i^+(sinθ)j^)

The angle between the second point charge and third point charge is 45° .

Substitute 45° for θ and 2d for d in the above expression

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