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-1 votes
2 answers
93 views

Charge conservation in ohmic material - Apparent paradox

Consider an ohmic material with constant conductivity, which obeys the relation: $$\vec J = \sigma \vec E$$ where $\vec J$ is the current density and $\sigma$ is the conductivity. Applying the first ...
Lagrangiano's user avatar
  • 1,616
-1 votes
1 answer
37 views

Continuity Equation on a Non-Ideal System

I recently watched a video on the diffusion equation for neutrons in a fissile material, and at about 2:30 minutes into the video, the author points out that the right hand side of the continuity ...
liuzp's user avatar
  • 11
1 vote
1 answer
93 views

Why does current not decrease in/after a resistor if electrons are impeded/lose energy? [duplicate]

I was told that current is uniform across a series circuit. Yet I was also told that a resistor works by impeding the flow of free electrons, which should mean slowing them down. Does this mean that ...
rde's user avatar
  • 11
1 vote
1 answer
512 views

Does $J = \sigma E $ hold when a charged mass is subjected to an external force?

Let's say that I have a charged mass that is moved by some non-electromagnetic means such as gravity or fluid flow. I expect Maxwell's equations to hold in this case. However, I am confused as to ...
TribalChief's user avatar
1 vote
1 answer
82 views

Prove that electric current in any arbitrary cross section is the same

Consider a conductor with variable cross sections there is an electric current in it. Now prove that electric current in any arbitrary cross section is the same.
Almot1960's user avatar
  • 125
7 votes
2 answers
343 views

Is electricity perpetual in a superconductor system?

I wonder if electricity consumption happen according to the Law of conservation of energy and Joule effect, in a regular circuit certain amount of energy is transformed into heat by components ...
Asahi Sara's user avatar
3 votes
2 answers
1k views

Is Ohm's law valid for all frequencies?

From continuity equation and Ohm's law it it's possible to say that: $$ \nabla \cdot (\sigma \mathbf{E}) = -\frac{\partial \rho}{\partial t} \Rightarrow -\frac{\partial \rho}{\partial t} \frac{1}{\...
diegobatt's user avatar
  • 275
5 votes
3 answers
2k views

Why doesn't current decrease in series combination?

I know that the question is quite stupid but I want to get an insight of this case. consider 3 resistors connected in series with a battery, after the current passes through resistor 1 it loses some ...
Nerd's user avatar
  • 103
2 votes
5 answers
4k views

Why current in series circuit is the same?

I have read in the internet that the charges do not have any other path to go and they must go through the same in a series circuit,hence the current is same. It was quite convincing but what ...
Gayatri's user avatar
  • 183
2 votes
2 answers
799 views

Why does current density changes but not current? [closed]

let us assume that we have a conductor with a specified resistance ( case 1 ) and a normal conductor ( case 2 ) as shown in the figure , and now we apply an external electric field with a battery on ...
Raghav Khaterpal's user avatar