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58 votes
7 answers
21k views

Cyclist's electrical tingling under power lines

It's been happening to me for years. I finally decided to ask users who are better with "practical physics" when I was told that my experience – that I am going to describe momentarily – prove that I ...
Luboš Motl's user avatar
21 votes
4 answers
41k views

Derivation of self-inductance of a long wire

Currently I am stuck, trying to derive the self-inductance of a long wire. According to literature it should be $$L=\frac{\mu_r\mu_0l}{8\pi}$$ and in literature its derived by looking at the energy ...
ftiaronsem's user avatar
  • 1,573
18 votes
3 answers
11k views

Faraday's law - does the induced current's magnetic field affect the change in flux?

I've had this conceptual problem with Faraday's law and inductance for a while now. Take the example of a simple current loop with increasing area in a constant field (as in this answer). So Faraday'...
Martin Ender's user avatar
10 votes
4 answers
4k views

Where does the extra energy come from in an LC circuit?

In an LC circuit, or an LC tank, the capacitor discharges in one direction through an inductor and then the inductor seems to carry energy in the form of a magnetic field , to charge the capacitor ...
physicsnewbie's user avatar
3 votes
1 answer
3k views

Magnetic Flux conservation

My teacher said that after switch is shifted (after very long time), $\phi_i = \phi_f$ $\implies i_oL = i3L \implies i = \dfrac{i_o}{3} $ where $i_o$ is $\dfrac{\varepsilon}{R}$ So the initial ...
Archer's user avatar
  • 375
1 vote
3 answers
319 views

Significance of sliding switch in a LR circuit

The following image and statement are from my textbook Concepts of Physics on the chapter "Electromagnetic Induction", topic 38.6 "Growth and decay of current in an LR circuit", ...
Vishnu's user avatar
  • 5,306
1 vote
2 answers
2k views

What is the magnetic flux density "outside" the solenoid when AC current is passing through it?

I know that there are well defined equations explaining the magnetic flux density in the solenoid. However what about magnetic field outside the solenoid? How is the magnetic flux density related ...
Rein's user avatar
  • 111
1 vote
1 answer
822 views

Differential equation in RL-circuit

I am self-studying electromagnetism right now (by reading University Physics 13th edition) and for some reason I always want to understand things in a crystalclear way and in depth. Now look at this ...
Ziko Humlesen's user avatar
0 votes
2 answers
444 views

The direction of induced electric field around a changing current wire

I saw in my textbook that the induced electric field around a changing current wire is parallel to the direction of the current, for example: Why is that? Thanks!
roeihapoel8810's user avatar
10 votes
5 answers
10k views

Magnetostatic energy density -- derivation without introducing inductance?

I was looking for a derivation of the expression for the energy density at any point in a static magnetic field. I do know that it is $$u_B=\dfrac {1}{2 \mu_0}\left|\mathbf{B}\right|^2,$$ I was just ...
Avijit's user avatar
  • 625
1 vote
2 answers
144 views

Inductor with ac supply

When an ac source is connected with an inductor we have a continuous change in voltage and current across the inductor. According to farady and lenz law we will get an equal and opposite voltage ...
Alex's user avatar
  • 1,441
1 vote
1 answer
2k views

Does the direction of magnetic field in a solenoid point from north to south anywhere? [closed]

Is there any case where the direction of magnetic field inside a solenoid points from its North Pole to its south?
Hani's user avatar
  • 187
1 vote
2 answers
400 views

How to calculate flux in a helical wire?

We have a wire going around in a helix (just like an inductor) and a constant magnetic field exists along its axis throughout the space. How do we calculate the flux through it? I can't understand ...
Kashmiri's user avatar
  • 1,260
1 vote
1 answer
831 views

Is a unit coupling coefficient for mutual inductance (so $M=\sqrt{L_1L_2}$) compatible with different self-inductances $L_1\neq L_2$?

We considered mutual inductance in my lectures and the definition $M=k\sqrt{L_1L_2}$ where the coupling constant $k$ can vary between 0 and 1. When covering transformers, my lecture notes "assume that ...
Meep's user avatar
  • 3,997
0 votes
0 answers
111 views

How to find the canonical equations of the RLC circuit

First, I consider the LC circuit with an ion in the capacitor, which is like this: The current $I$ can be derived easily by using Shockly-Ramo theorem \begin{equation} I = -\frac{qp}{dM} + C\dot{U} \...
 Hou's user avatar
  • 68

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