The force between charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. kq192 f(x) = x2 Where q, and q, are in coulombs (C), x is in metres, the force is in newtons and k is a constant, k = 9 X10°. It follows that the work done when electric charges move toward each other (or when they are separated) is given by: Work = | k q192 dx An electron has a 1.6 X 10-19 C negative charge How much work is done in separating two electrons from 1.0 pm to 4.0 pm? (pm means picometre)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Part 5
The force between charges is proportional to the product of their charges and inversely
proportional to the square of the distance between them.
ką142
f(x) =
x?
Where q, and q2 are in coulombs (C), x is in metres, the force is in newtons and k is a
constant, k = 9 X10°.
It follows that the work done when electric charges move toward each other (or when they are
separated) is given by:
k q192
Work
dx
x2
An electron has a 1.6 X 10-19 C negative charge How much work is done in separating two
electrons from 1.0 pm to 4.0 pm? (pm means picometre)
Transcribed Image Text:Part 5 The force between charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. ką142 f(x) = x? Where q, and q2 are in coulombs (C), x is in metres, the force is in newtons and k is a constant, k = 9 X10°. It follows that the work done when electric charges move toward each other (or when they are separated) is given by: k q192 Work dx x2 An electron has a 1.6 X 10-19 C negative charge How much work is done in separating two electrons from 1.0 pm to 4.0 pm? (pm means picometre)
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