Electricity and magnetism confusion!


by Dongorgon
Tags: confusion, electricity, magnetism
Dongorgon
Dongorgon is offline
#1
Dec29-12, 09:28 AM
P: 20
1. The problem statement, all variables and given/known data
I've been set an assignment and I'm struggling with one question in particular:


2. Relevant equations

'Use the following data and plot the graphs for a point charge'

'Plot graph of E against r^2. Interpret the graph to describe electric field strength and electric potential.'

The figures provided are r(m)=Distance from a point charge, and, V(V)=Voltage at a distance 'r' from a point charge.

3. The attempt at a solution
More than anything I'm just really stuck how to find E from the figures provided? Any help would be greatly appreciated! Thanks
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#2
Dec29-12, 09:37 AM
P: 123
The filed at r=ri wil be:
E = -dV/dr ≈ -ΔVi/Δri
where ΔV = V(ri+1)-V(ri) and Δri = ri+1-ri
HallsofIvy
HallsofIvy is offline
#3
Dec29-12, 10:02 AM
Math
Emeritus
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Thanks
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P: 38,898
I don't see how it would be possible to answer this without knowing what data you are given!

Dongorgon
Dongorgon is offline
#4
Dec29-12, 03:07 PM
P: 20

Electricity and magnetism confusion!


Apologies, the date given is as follows:

R(m)=Distance from point charge:

0.0254
0.0508
0.05762
0.1016
0.127
0.1524
0.1778

And corresponding respectively, the V(V)=VOltage at a distance 'r' from a point charge:

236.22
214.57
157.58
108.03
94.48
85.3
73.11
gneill
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#5
Dec29-12, 03:31 PM
Mentor
P: 11,445
You're told that the given data corresponds to potential U at distances r from a point charge. What expressions do you know that correspond to electric potential U and electric field E at distance r from a point charge?
Dongorgon
Dongorgon is offline
#6
Dec30-12, 05:36 PM
P: 20
Ok, so from equations to give V and E, I've come up with this as a potential solution for the first E value from the first two values of distance and voltage. Is this correct?
gneill
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#7
Dec30-12, 07:41 PM
Mentor
P: 11,445
No need to plug in numerical values yet; you have a whole table full of values to plot later. Just write the expressions for potential and electric field for a point charge. Solve the potential expression for Q and substitute it into the field expression. That'll leave you with an expression for E involving only V and r. You can plot that since you have a table full of values for V and r.

(as an aside, note that electric field strengths are given in V/m or N/C, not Teslas which are a measure of magnetic field strength)
Dongorgon
Dongorgon is offline
#8
Dec30-12, 08:35 PM
P: 20
Brilliant, piece of cake. Many thanks to those who have helped!


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