- #1
influx
- 162
- 1
What are cyclic devices exactly? Are heat pumps and refrigerators both examples of cyclic devices? Also is a heat engine the same as a heat pump?
What are cyclic devices exactly?
- Thread starter influx
- Start date
-
- Tags
- Cyclic
AI Thread Summary
Cyclic devices operate by repeating a specific cycle, with heat pumps and refrigerators both classified as such. A heat pump functions similarly to a refrigerator, utilizing work to transfer heat, while a heat engine converts heat into work. Heat engines and heat pumps are not the same; they serve different purposes in thermodynamics. The term "engine" is too broad to categorize all engines as cyclic devices. Understanding these distinctions is crucial for comprehending thermodynamic principles.
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 Solving a momentum problem where masses change after the collision
- Started by rdemyan
- Replies: 35
- 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
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