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1. Reconciling Magnetism in material and the Lorentz Force equation

Thanks Tiny-Tim So if you took the spins calculated what forces are in play and what E and B fields are there, they would follow this classical Lorentz force law, or does this break down pretty quick in the face of quantum mechanics? I guess I have heard that Maxwell came up with a strange...
2. Reconciling Magnetism in material and the Lorentz Force equation

Hello, The Lorentz force equation, F = q (E + v x B), is a complete description of the force on bodies arising from Magnetism and Electricity, right? So somehow it must be possible to get from the magnetism that exists in materials (like in a magnet) to this equation. I don't see how the...
3. Area section of a sphere used for integration?

I cannot figure out why the area of a section of a sphere used for integration is: (r * dtheta) (r * sin(theta) * dphi) ? where dtheta and dphi are the differential angles that subtend the arcs, which make up the sides of the rectangle used for the differential area. I did an...
4. Why can you see stars (1/r or 1/r^2 dropoff of power)?

I read somewhere that people can see stars because an electromagnetic wave drops off by 1/r, therefore the power delivered by the electromagnetic wave stays strong enough to activate the receptors in your eye. I believe, this 1/r relation was realized by Maxwell when he was analyzing and...
5. Understanding the Cosine Wave Frequency Domain

Thanks for the patient explanations. I can't say I have intuitively grasped this yet but I am not finished playing with these new ideas provided by you all on basis, eigenfunctions, and vectors in the s plane. I just wanted to send a quick note of thanks. -xerxes73
6. Understanding the Cosine Wave Frequency Domain

Actually I meant, euler's inverse formula: cos x = e^ix / 2 + e^-ix / 2
7. Understanding the Cosine Wave Frequency Domain

So...a cosine wave when shown in the frequency domain is represented by a 1/2 magnitude vector at the positive frequency and a 1/2 magnitude vector at the negative frequency. I am surprised by this because I cannot understand why a vector of magnitude 1 at the positive frequency of the cosine...
8. Molecular spin alignment having macro torque effects?

Thanks! I appreciate the info. This led to some interesting reading. -Xerxes73
9. Molecular spin alignment having macro torque effects?

Hello, If a magnetic field aligns the electron or nuclear spins can that have a macro effect of causing torque? So for example if we had a rod and we fixed one end but allowed it to freely rotate and then aligned electron or nuclear spins would that cause the rod to rotate? Thanks, Xerxes73
10. Electron Precession versus Proton Precession in a Magnetometer?

Hello, Why is it that electron precession is not used in addition to proton precession in a proton precession magnetometer? It seems to me that when the frequencies are emitted as the protons precess that the electrons would do precessing at the same time and provide a secondary frequency to...