Using the Right Hand Rule to Determine Particle Charge

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To determine the charge of a particle using the right-hand rule, the velocity is directed north, the magnetic field is out of the page, and the force is east. The confusion arises from the incorrect application of the right-hand rule, where the thumb should point out of the palm while the fingers curl towards the magnetic field direction. Properly applying the rule shows that if the thumb points out and fingers point north, the resulting force direction is indeed east, indicating a positive charge. Clarification is needed on finger positioning and the direction of the thumb to resolve misunderstandings. Understanding the right-hand rule is crucial for accurately determining the charge of moving particles in magnetic fields.
Nimmy
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Ok... so I know the direction of the force is east, the direction of the velocity is north, and the Magnetic field is out of the page. So I am trying to determine what charge this particle is. The answer is positive but I don't see how that's the answer. Look through my work please, to see what's wrong.

My work...

My fingers point to the velocity which is north, and I curl into the B-Field, the direction of my thumb, which is out. The Force is still out not east unless I twist my thumb to the east. Then I see the force going to the east.
 
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How did you curl your fingers towards your thumb?! Your palm should be facing up when you curl your fingers up.
 
dx said:
How did you curl your fingers towards your thumb?! Your palm should be facing up when you curl your fingers up.
Well what I did was I just basically I curled it counterclockwise into my thumb. That's why I don see the force pointing to the east.
 
dx said:
Your thumb should be pointing away from your hand, and should be in the plane of your palm.

http://en.wikipedia.org/wiki/Right_hand_rule

Exactly but I still don't get it. I am doing this rule: "You can determine the direction of the magnetic force vector by using the right-hand rule as follows: point the fingers of your right hand in the direction of the velocity vector and then curl them around to point in the direction of the magnetic field vector. The direction in which your thumb points gives you the direction of the magnetic force vector."

So I have this...lol...I know this a corny explanation...

righthandrule.JPG


Using the First Image Rule:

So the thumb points out and the velocity points north. So I curled my fingers into my thumb and my thumb doesn't move east.
 
See attachment.
 

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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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