Work to move charge to infinity?

In summary, the conversation discusses a homework problem involving three charges at the corners of a rectangle. The question asks for the amount of work needed to move one of the charges to infinity. The solution involves finding the potential at the charge's location and using the equation for work done against multiple forces.
  • #1
awertag
64
0

Homework Statement



The figure below shows three charges at the corners of a rectangle of length x = 0.55 m and height y = 0.35 m.

http://www.webassign.net/walker/20-23alt.gif

(a) How much work must be done to move the +2.7-µC charge to infinity?

Homework Equations



W=([tex]\Delta[/tex]V)(q)
V3=potential at the spot of the charge
Q3=2.7e-6 C

The Attempt at a Solution



W=/\VQ
W=V3(Q3)
then try to solve for V3=KQ3/r3 but i know i can't because i don't have an r because there's no reference point for it. So, is there another way to solve for potential or am i just going about the whole thing wrong?

thanks very much

--aweg
 
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  • #2
hi awertag! :smile:

(have a delta: ∆ and try using the X2 and X2 icons just above the Reply box :wink:)

the work done against two (or more) forces is the sum of the work done against each force …

∫(∑F).d = ∑(∫F.d) :wink:​
 
  • #3
haha thanks for the delta :)
i actually got the problem, i just was having trouble finding the potentials but I've got it now. Thank you for taking the time to respond, and have a great day!
 

FAQ: Work to move charge to infinity?

What is the meaning of "work to move charge to infinity"?

"Work to move charge to infinity" refers to the amount of energy required to move a charged particle from a point in space to an infinitely far distance away from all other charges. This is often used to calculate the potential energy of a charged particle in an electric field.

Why is it important to calculate work to move charge to infinity?

Calculating the work to move charge to infinity allows us to determine the potential energy of a charged particle in an electric field. This is important in understanding the behavior of charged particles and how they interact with each other.

How is work to move charge to infinity related to electric potential?

The work to move charge to infinity is directly related to electric potential. Electric potential is a measure of the amount of potential energy per unit of charge at a point in an electric field. The work to move charge to infinity is equal to the electric potential multiplied by the charge of the particle.

What factors affect the work to move charge to infinity?

The work to move charge to infinity is affected by the magnitude of the charge of the particle, the distance from the charged particle to infinity, and the strength of the electric field. The work to move charge to infinity increases with the magnitude of the charge and decreases with increasing distance or weaker electric fields.

How is work to move charge to infinity calculated?

The work to move charge to infinity is calculated using the equation W = qV, where W is the work, q is the charge of the particle, and V is the electric potential at the point in question. This equation assumes a point charge and a constant electric field.

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