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What examples of a system can be described by a system of ordinary differential equations?
The incremental inductance depends on the natural log of the l/d ratio. It also is reduced by the gap of the return conductor but is not affected by the dielectric around it. https://www.mantaro.c...
I'm trying to understand the uncertainty principle and its implications for particle measurement. From what I've read, it seems that the principle states that we cannot simultaneously know the exac...
Suppose you have two photons A and B on an x, y plane: Photon A is at (-20, 9) and traveling towards (20, 0). Photon B is at (-20, -9) and traveling towards (20, 0). Both photons have waveleng...
Yes, that would the obvious interpretation of that equation in one dimension. Note also that in that case, the divergence also reduces to the ordinary derivative. In other words, in one dimension,...
Practically (or engineeringly) speaking you'd need the surface temperature sensors; or experimentally determined fudge-factor values. Experimentally you might determine which window is most prone t...
Can we use other laws of electromagnetism to calculate the inductance of a piece of wire just like we used Gauss's law to calculate the capacitance of the 2 seperated conductors? Yes. The inducta...
Lets say we have a mass connected to a spring.Assuming not any friction the ODE which describes the system is
The increase in tension from 15 N to 17 N happens because when you introduce masses and place them over a pulley, the dynamics of the system change. Without the pulley, forces directly oppose each ...
Gravitational waves can be derived from the non-linear Einstein field equations and since they are by definition waves they must obey the wave equation:
You're not far off, but there are a few key points to clarify. Hawking radiation is a result of quantum mechanics in curved spacetime and isn't predicted by general relativity alone. GR doesn't acc...
If we have a LC high pass filter the transfer function H(s) becomes:
Maxwell's first law in differential form states that
In his Australia lectures and his six easy pieces book, Feynman unequivocally states that mass is momentum in the direction of future time. Anything that experiences the passage of time has mass, ...
Generally, mass is the total energy of a particle or system in the frame of reference where its total momentum vanishes. A massless particle is one that can have arbitrarily small (positive) energy...
$$\begin{alignat}{2} && \vec \nabla \cdot \vec D & = \rho_f \ & \implies &\int_V \vec{\nabla} \cdot \vec D \mathrm d\tau & = \int_V \rho_f\ \mathrm d \tau \ & \impl...
With time dilation a cosmonaut could travel forth in time, especially in light speed. But are there much lesser speeds which might be achievable by humans in the next 100 years which could also in...
Kinetic energy of any particle (who has mass) is
No. A calendar or, more generally, a time measurement system, can be based on anything. While human calendars have (generally) been based on: Day = One cycle of the Earth's rotation Month = On...
We don't know the details of your setup, but most likely there was a partially reflective surface over the actual photoresistor. The photoresistor itself may also be partially reflective. A highe...
Let's start with displacement field equation
The Euler-lagrangian equation gives the equations of motion that once solved give you a family of solutions that minimize the action. A unique solution is given by specifying boundary conditions....
I dont think anyone can make a universal calendar because time flows more slowly or more fast between different regions in the universe or it can even go backwards if you come close to a rotating b...
I have recently heard of Apsidal Vectors. I was searching about it through internet. I had found the video in YT. I had found similar question in PF. But, the PF answer wasn't clear to me. I am jus...
Laplacian acts like Divergence but not completely. If you take a function (called
