Here are the charges and coordinates of two charged particles located in an xyplane:q2'=-3.0×10-6C,x=+3.50cm,y=+0.500cmandrole="math" localid="1662728679285" q2=-4.0×10-6C,x=-2.00cm,y=+1.50cm. How much work must be done to locate these charges at their given positions, starting from infinite separation?

Short Answer

Expert verified

The work done isW=1.39 J

Step by step solution

01

Given

After reading the question, For the first charge q1=+3.0×106 Cat p(3.5,0.5) cmfor the second charge 'q2'=4.0×106C at q(2,1.5) cm
From the figure:

02

Determine the concept

Work done is given by s follows:

W=14πεoq1q2d

03

Calculate how much work must be done to locate these charges at their given positions

The separation between p and q,

d=(3.5+2)2+(0.51.5)2

d=5.59 cm

d=0.0559 m

The net work done:

W=14πεoq1q2d

Substitute the values and solve as:

W=9.0×109×(3.0×106)(4×106)(0.0559)

W=1.39 J

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