Measuring Electric Field of Something

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To calculate the electric field (E), it is defined as the force (F) acting on a probe charge (q) at a point in space, expressed as E=F/q. However, measuring E in proximity to its sources is challenging without constraining all charges, as the probe charge can alter the field distribution. Coulomb's Law can be used to determine the force between known charges, but measuring absolute polarization density is not feasible; only changes in polarization can be measured. The internal field within a material is influenced by the applied field and polarization, complicating direct measurements of the field felt by individual atoms. The recommended approach is to calculate the applied electric field based on experimental parameters, such as voltage, to obtain a value in volts per meter (V/m).
sYanGchronize
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In many equations, I see the term E, but I'm really confused on how exactly I can calculate this value. So if I were to an experiment and I needed to find the polarization density, and I needed the E value, where can I find it?

Thanks :D
 
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In electrostatics, the operative definition of electric field in a point P in space defines E through the force F acting on a probe charge q (placed at P), small enough that it will not alter the distribution of the sources of the original field:
E=F/q

Not sure how practical is to do this in an actual experiment, in particular you won't be able to use this definition to measure the field in close proximity to its sources unless you can constraint all charges in place. One can still try to subtract the effect of the probe charge but that's another story...
 
Yea, those lectures are the best. I don't know, I can probably find the charge on some website, but then, I would still have to find F. So would I then be able to use Coulomb's Law to find the force using the two known charges?
 
sYanGchronize said:
Yea, those lectures are the best. I don't know, I can probably find the charge on some website, but then, I would still have to find F. So would I then be able to use Coulomb's Law to find the force using the two known charges?

See the Electrostatic Force can apply for any two point charges
 
You can't measure an absolute value for the polarization density, you can only measure a change in polarization. The internal field in your sample depends on the applied field and the magnitude of the polarization, since the polarization serves to decrease the field felt by the individual atoms. Since you can't measure the polarization exactly, you can not measure the field felt by individual atoms at all, so I think it is useless to try to think about a test charge in that material. What you need to do is calculate the field you are applying, based on whatever experimental parameters you are using to apply it. So if you are applying a voltage, just calculate the field in V/m...I think that's the best you can do.
 
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