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Electric Potential homework

  • Thread starter nfcfox
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  • #1
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Homework Statement


The electric potential a distance r from a point charge q is 195 V, and the magnitude of the electric field is 2870 N/C. Find the values of q and r.


Homework Equations


2780q=F
Fr=W
W/q=195

The Attempt at a Solution


Using substitution I got r=.00679 meters, which is correct. I can't substitute to find q... I have no idea what to do.
 

Answers and Replies

  • #2
gneill
Mentor
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What are the equations for the electric field and electric potential at a distance r from a point charge q? Your text or class notes must have these two equations as they are quite fundamental. Hint: They both involve the constant from Coulomb's law.
 
  • #3
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What are the equations for the electric field and electric potential at a distance r from a point charge q? Your text or class notes must have these two equations as they are quite fundamental. Hint: They both involve the constant from Coulomb's law.
Ik the equation F=(kQ1Q2)/(r^2) that's Coulomb's law. We never really did anything with fields or potentials... I found that electric field=F/q which I already have up there.
What are the equations for the electric field and electric potential at a distance r from a point charge q? Your text or class notes must have these two equations as they are quite fundamental. Hint: They both involve the constant from Coulomb's law.
I already have the electric field equation up there and the electric potential is U=(kQq)/r
 
  • #4
gneill
Mentor
20,792
2,770
Ik the equation F=(kQ1Q2)/(r^2) that's Coulomb's law. We never really did anything with fields or potentials... I found that electric field=F/q which I already have up there.

I already have the electric field equation up there and the electric potential is U=(kQq)/r
I suspect that your method for finding the distance r was actually flawed, and your correct result was a coincidence. I say this because one of your relevant equations, Fr = W, is not correct for this situation. If F is meant to be force and W the work done, then it doesn't hold if the force varies with the distance (F is not constant so W = F⋅d doesn't hold).

Your new equation, U=(kQq)/r, gives the electric potential energy (in Joules) for a system of two charges. That's the energy required to bring them from infinity to a separation distance of r. What you need is the electric potential (in Volts) for a point charge at distance r.

The equations that you're seeking are:

##E = k \frac{q}{r^2}~~~~~~~~~~## Electric field strength (N/C)

##V = k \frac{q}{r}~~~~~~~~~~~## Electric potential (Volts)

You should verify that these equations are given in your text book.
 

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