Effect on electron in magnetic field

AI Thread Summary
In a uniform magnetic field directed into the page, an electron follows a clockwise spiral path with a decreasing radius. The electromagnetic force acting on the electron is responsible for its circular motion, while the centripetal force is derived from this motion. As the radius decreases, the speed of the electron is affected by the balance between these forces. The electron's speed is actually increasing due to the nature of the magnetic force acting on its charge. Understanding the relationship between the forces and the radius is key to solving this problem.
xiangyu7
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Here's a question that I'm quite confused about:

A uniform constant magnetic field is directed into the page. An electron of constant mass and charge follows a clockwise spiral of decreasing radius path. Is the particle spead increasing or slowing down? and Why?
 
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try this

I see two forces here (sort of, one is a consequense of the other):

1st force (the real one): The electromagnetic force
Look at what you have:
B-field, velocity, charge (its an electron)

2nd force (implied in the motion): Centripital Force
What the first force is doing. Set the two equal. See what happens when you vary radius.

Don't forget Centripital force= mass x centripital acceleration



That should get you through the problem.

curly
 
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