Need some advice on this Electric Field question

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SUMMARY

The discussion focuses on calculating the electric field required to balance the weight of an electron and a proton using the equations W=mg and E=F/q. Participants clarify that the direction of the weight (W) can be defined as either positive or negative based on the chosen coordinate system. The key takeaway is that if the upward direction is considered positive, then W should be expressed as -mg, while if downward is positive, W is +mg. The relationship between electric field (E) and weight (W) can also be represented as W + qE = 0 to determine their directional relationship.

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whatisphysics
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Homework Statement


What are the magnitude and direction of the electric field that will balance the weight of an
a)electron b)proton?


Homework Equations


W=mg
E=F/q


The Attempt at a Solution


This is what I did:

W=mg=F
so E=mg/q

My only question is, since W is downward, when I do my calculations, do I have to make it:
W=-mg=F
or do I simply just put it as W=+mg

If yes, why do i put it as +, or why do i leave it as negative, this is what I'm a bit confused about.

Thanks in advance!
 
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hi whatisphysics! :smile:

the question asks …
whatisphysics said:
What are the magnitude and direction of the electric field that will balance the weight of …

… so you need to give the direction of E, ie "up" or "down" :wink:
 
tiny-tim said:
hi whatisphysics! :smile:

the question asks …


… so you need to give the direction of E, ie "up" or "down" :wink:

That's the thing, I don't know if when I'm calculating the force acted by the gravity, which is W=mg, whether it should be a Positive or a Negative. I know how to do the calculations, I am just a little bit confused about the signs for W=mg.

Thanks for replying so fast!
 
hmm … you're confusing me also! :redface:

if the up direction is positive, then W = -mg

if the down direction is positive, then W = +mg …

it's up (or down! :wink:) to you which direction you choose to be positive

alternatively, just say W + qE = 0, and then just by looking at the signs in that equation, you should be able to see whether E is parallel or opposite to gravity :smile:
 

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