Questions tagged [displacement-current]

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Current when capacitor and resistor placed in parallel?

If the question is too long please comment to shorten it atleast , I really need an answer. I have just started learning about RC circuits and these circuits are confusing me.My questions-1)What will ...
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1answer
32 views

Conduction current for parallel-plate capacitor

I am reading Sadiku's Elements of Electromagnetics and here is the proof given to show that conduction current = displacement current for parallel-plate capacitor. Displacement current: \begin{align*}...
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0answers
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Is the Lorentz transform of a bound current - a bound current?

The bound (magnetization) current is $\mathbf{J}_\mathrm{M} = \nabla \times \mathbf{M}$. The charge density of a moving magnet that is electrically neutral in its own rest frame satisfies the ...
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2answers
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Is there Electric Flux through a closed loop around a current wire?

In one of his lectures, Professor Walter Lewin is ammending Ampère's Law to include displacement current (i.e. It not only depends on the current that penetrates the loop, but also on the changing ...
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1answer
627 views

Displacement Current Density of a parallel plate capacitor

Been stuck on this for a while and haven't been able to make sense of it. So let's say that we have a parallel plate capacitor with plate area, $A$, charging at a rate $i$. The gap between the plates ...
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1answer
114 views

Does a Changing Electric Field Between The Plates of a Charging Capacitor Really Create a Magnetic Field?

Maxwell asserted that a virtual current. the displacement current, which was proportional to the charging field between the plates was sufficient to produce a magnetic field of the same orientation as ...
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2answers
388 views

Displacement current in charging capacitor [duplicate]

In the classic example of a charging capacitor I can see how an Amperian loop with a surface going between the capacitor's plates would feel a changing electric flux, as the electric field between the ...
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6answers
717 views

Forms of Maxwell's equations

In my physics class, I was taught two forms of one of Maxwell's equations: Ampere's law $$\vec{\nabla} \times \vec{B} = \mu J$$ and Maxwell-Ampere's law $$c^2\vec{\nabla} \times \vec{B} = \dfrac{\...
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0answers
421 views

Surface current density (magnetic materials)

In deriving the boundary conditions for $H$ at the boundary between two media, my lecturer stated that "since there is no conduction (free) current on the Surface... the tangential components of H are ...
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1answer
108 views

Can Polarization Current Density be a tensor quantity?

I've seen a definition of Polarization Current Density (usually given when explaining displacement current) given by: $$\vec{J}_P=\frac{d\vec{P}}{dt}$$ But this seems to not contain all the ...
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2answers
414 views

Coulomb's law for Electric Displacement vector

I am quite a newbie at Electromagnetism and I have been reading Intro to Electrodynamics by Griffiths. I have a doubt and I would highly appreciate any help :) The author states that for the Electric ...
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1answer
285 views

Is the displacement current produced by the time rate of change of electric displacement field (D)?

We know that $D=\epsilon_0 E+P$ where'D' is the electric displacement field and takes into account the field due to free carriers.'P' is the polarization and takes into account the field due to ...
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2answers
440 views

Displacement currents

My book gives a really vague picture of the displacement current. Could someone explain how it was actually arrived at? My book does something like this: It assumes a loop just before the capacitor ...
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0answers
67 views

Formula for calculating magnetic vector potential in presence of displacement current density only

Suppose to have a volume $\tau$ where a displacement current density $\vec{j_S}$ is present. Can the magnetic vector potential be calculated using the following formula? $$\vec{A}=\frac{\mu_0}{4\pi}\...
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1answer
563 views

Physical Interpretation of AMPERE's law [closed]

since we can get the charge conservation from ampere's law i was wondering is this the only physical interpretation of ampere's law ,what can be the more physical interpretations of ampere's law both ...
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1answer
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Free and bound current- and charge density in Maxwell equations

The first and fourth Maxwell equations are often denotet in vaccum: $$ \nabla \cdot \mathbf{E} = \frac{\rho}{\epsilon_0} $$ $$ \nabla \times \mathbf{B} = \mu_0\left( \mathbf{j}+\epsilon_0 \frac{\...
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1answer
71 views

Are there losses in AC when passing through a capacitor?

A capacitor allows AC to pass through. From what I've read it's caused by the changing electric field in the space between the capacitor plates which causes a change in charge on the other plate of ...
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1answer
346 views

How does the displacement current flow in a conductor at steady current?

According to the concept of displacement current, time varying electric fields give rise to displacement currents. But in a capacitor, once steady current flows, there is no change in electric field. ...
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2answers
395 views

How do charges accumulate even though current flows through a capacitor?

I don't understand why do charge accumulate on each plate of capacitor.I learned about displacement current which flows through the gap of the capacitor and this makes the circuit continuous.But why ...
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1answer
86 views

Displacement current and lamp

The changing electric field creates current and between the plates of a capacitor, there exists displacement current. I wonder what happens when a lamp put between the plates of capacitor with no ...
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2answers
6k views

Derivation of Displacement current term in Ampere's Law

I have a quick question: In deriving the displacement current term for Ampere's Law, my book has the line: $$\Phi_E= \int_S \mathbb{E} \cdot \hat{n} da= \int_S \frac{\sigma}{\epsilon_0} da = \frac{Q}...
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1answer
256 views

Galvanic cell of zinc half cell and copper half cell

Where do the $Zn^{+2}$ ions come from in a $Zn$-half cell, if from zinc metal then why doesn't after some time $Zn$ metal is completely vanished and what is the purpose of $Zn^{+2}$ ions of zinc ...
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2answers
320 views

Maxwell's equations

In Jaynes' Probability Theory, he states: There are many more analogies. In physics we are accustomed to finding that any advance in knowledge leads to consequences of great practical value, but of ...
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1answer
333 views

displacement current

1)Is the sum of conduction and displacement current constant? 2)And is it possible to get a displacement current in a DC circuit? Is it right to say: Displacement current only exists when there is a ...
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0answers
362 views

What is the difference between free current and displacement current?

So the displacement current is introduced to make Ampere's Law consistent with time-dependent currents, and then becomes $$\oint \vec{B}d\vec{l}=\mu_0(I+I_d).$$ I am struggling to understand exactly ...
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2answers
492 views

What empirical evidence is there for displacement current?

I wonder what more or less direct measurements of the displacement current exist. I know that the existence of em waves demonstrates its existence, though somewhat indirectly. I also know that there ...
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1answer
231 views

Does displacement current occur in an inductor?

We have learned in school that displacement current comes about due to a change in electric field flux per time in a capacitor (Ampere-Maxwell Law). Does the same displacement current come about in an ...