How can the force NOT be zero here?

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The discussion centers on the confusion regarding the total force in a specific physics scenario depicted in a textbook. Although the vector sum of forces appears to be zero in the illustration, the Lorentz force can vary and is zero only for particles with a specific velocity (v=E/B). The velocity selector is designed to allow only those charged particles with this exact velocity to pass through unimpeded. If particles deviate from this velocity, they are effectively "discarded." Therefore, the net force is zero only for particles meeting the velocity condition, while others may experience a non-zero force.
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What page in the book? I don't se any pages labeled 17 and 18.
 
In the pdf
 
I loaded the pdf. It starts on page 894.
 
There are 32 pages
 
Are you talking about the "Active figure 29.23"?
If so you're right that the total force is zero, but I see nowhere why it couldn't be zero.

They talk about the Lorentz force which isn't necessarily zero and is precisely zero in the special case of the figure 29.23. It can of course be zero in other (hypothetical at least) situations.

Where did you read that the force is NOT zero? What page exactly?
 
I didn't read anywhere that it isn't zero, the picture tells me. The force is equal in magnitude and opposite direction
 
Just a bit further down the same page, the point is that the velocity selector allows a charged particle with a certain velocity to shoot straight down the finely tuned system between the plates and in the magnetic field unimpeded. Presumably, if it veers off the middle line just a bit, the particle will be "discarded" if you will. Then, a slit at the end of the velocity selector will allow those particles that are of the certain velocity (v=E/B...and you can tune your velocity selectors E and B fields to get that specific velocity) to continue onward (such as in a mass spectrometer where you want to be sure of the initial velocity...stick a velocity selector in front of your mass spectrometer region, like in the next figure).

The net force is only 0 for those particles with v=E/B.
 
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