- #1
rle092498
- 1
- 0
Is it possible to use magnets (donut shape) to float a carbon arrow in the center of the donut (LEVITATION USING CARBON.
AI Thread Summary
Using strong magnetic fields, it is theoretically possible to levitate a carbon arrow within a donut-shaped magnet. Magnetic levitation has been demonstrated with various objects, including plastic toys and small animals, suggesting that carbon-based materials could also be levitated effectively. The discussion highlights that living organisms, primarily composed of carbon, have successfully been levitated, indicating that a higher carbon concentration may enhance levitation capabilities. The feasibility of this concept relies on the strength of the magnetic field applied. Overall, the potential for levitating carbon objects like arrows is supported by existing examples of magnetic levitation.
Imagine a charged sphere at the origin connected through an open switch to a vertical grounded wire.
We wish to find an expression for the horizontal component of the electric field at a distance ##\mathbf{r}## from the sphere as it discharges.
By using the Lorenz gauge condition:
$$\nabla \cdot \mathbf{A} + \frac{1}{c^2}\frac{\partial \phi}{\partial t}=0\tag{1}$$
we find the following retarded solutions to the Maxwell equations
If we assume that...
Maxwell’s equations imply the following wave equation for the electric field
$$\nabla^2\mathbf{E}-\frac{1}{c^2}\frac{\partial^2\mathbf{E}}{\partial t^2}
= \frac{1}{\varepsilon_0}\nabla\rho+\mu_0\frac{\partial\mathbf J}{\partial t}.\tag{1}$$
I wonder if eqn.##(1)## can be split into the following transverse part
$$\nabla^2\mathbf{E}_T-\frac{1}{c^2}\frac{\partial^2\mathbf{E}_T}{\partial t^2}
= \mu_0\frac{\partial\mathbf{J}_T}{\partial t}\tag{2}$$
and longitudinal part...
The issue : Let me start by copying and pasting the relevant passage from the text, thanks to modern day methods of computing.
The trouble is, in equation (4.79), it completely ignores the partial derivative of ##q_i## with respect to time, i.e. it puts ##\partial q_i/\partial t=0##.
But ##q_i## is a dynamical variable of ##t##, or ##q_i(t)##. In the derivation of Hamilton's equations from the Hamiltonian, viz. ##H = p_i \dot q_i-L##, nowhere did we assume that ##\partial q_i/\partial...
Similar threads
Hot Threads
-
I Explain Bernoulli at the molecular level?
- Started by user079622
- Replies: 251
- Classical Physics
-
B Simple mass/scale puzzle
- Started by DaveC426913
- Replies: 206
- Classical Physics
-
I Topic about physics axioms, theory, laws etc..
- Started by user079622
- Replies: 93
- Classical Physics
-
I Two kinds of pressure
- Started by Demystifier
- Replies: 24
- Classical Physics
-
B Is water pressure on an inclined wall less than the weight of the water?
- Started by Mike_bb
- Replies: 31
- Classical Physics
Recent Insights
-
Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality
- Started by Greg Bernhardt
- Replies: 26
- Quantum Interpretations and Foundations
-
Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect
- Started by Greg Bernhardt
- Replies: 11
- Quantum Physics
-
Insights What Exactly is Dirac’s Delta Function? - Insight
- Started by Greg Bernhardt
- Replies: 3
- General Math
-
Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight
- Started by Greg Bernhardt
- Replies: 1
- Special and General Relativity
-
Insights Fixing Things Which Can Go Wrong With Complex Numbers
- Started by PAllen
- Replies: 7
- General Math
-
Insights Fermat's Last Theorem
- Started by fresh_42
- Replies: 105
- General Math