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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

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 P15.61. Find symbolic expressions for the components of the net force on a third point charge +Q located along the y-axis at y = d.

images

Figure P15.61

To determine
The components of electric force.

Explanation

The free body diagram is,

  • F+ is the force due to +2Q charge.
  • F is the force due to –Q charge.
  • r is the distance between +2Q charge and –Q charge.

From the diagram,

r=2d

Formula to calculate F is,

F=ke(Q)(Q)r2=ke(Q)(Q)(2d)2=keQ22d2

Formula to calculate F+ is,

F+=ke(Q)(2Q)d2=2keQ2d2

From the diagram, the x component of electric force is,

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