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31 votes
10 answers
8k views

How is energy "stored in an electric field"?

My physics teacher told me the statement "The energy of a capacitor is stored in its electric field". Now this confuses me a bit. I understand the energy of a capacitor as a result of the ...
anon's user avatar
  • 492
4 votes
2 answers
4k views

Is there really no meaning in potential energy and potential?

I have been told all my physics life that potential energy between two mass/charge has no meaning and only their difference has meaning. The same goes for electric potential, only the difference ...
Lemon's user avatar
  • 937
5 votes
4 answers
1k views

Electrical potential energy stored in vacumm for a single point charge?

I have come to know the electrostatic potential energy in vacuum is given by $${\frac{1}{2}} \epsilon_0\int d^3x {E^2} $$ and this energy is due to the mutual electrostatic coulomb potential energy. ...
user22180's user avatar
  • 1,336
6 votes
4 answers
169k views

Relation between Electric field and potential

I am unable to understand from this - sign comes. Which step I have done wrong?
Aman's user avatar
  • 135
3 votes
3 answers
4k views

Electrostatic energy integral for point charges

The electric energy stored in a system of two point charges $Q_1$ and $Q_2$ is simply $$W = \frac{1}{4\pi\epsilon_0}\frac{Q_1Q_2}{a}$$ where $a$ is the distance between them. However, the total ...
Doubt's user avatar
  • 519
2 votes
4 answers
491 views

How can we have negative work in electrostatics, if $W=(\epsilon_0/2)\int\! E^2\ \mathrm{d}\tau$?

This question is motivated by Section 3.2.3 in Griffiths. Therein, we are considering the force of attraction between a point charge and an infinite conducting plane. One can calculate the field ...
jackrodgers1554's user avatar
1 vote
3 answers
398 views

Deriving energy in Dielectrics

Note: I am working in the Lorentz-Heaviside system and all the integrals are over the whole space. Definitions: $$\vec E= \vec E_f+\vec E_b$$ $$\phi=\phi_f+\phi_b$$ $$\vec D=\vec E+\vec P$$ $$\rho=\...
GedankenExperimentalist's user avatar
1 vote
1 answer
8k views

Why does the electric potential for an infinite line charge seem to have to be worked out from negative infinity rather than positive infinity?

The electric field of an infinite line charge in the plane perpendicular to the line charge can be given as: $$E=\frac{1}{2\pi \epsilon r}$$ Where $r$ is the perpendicular distance from the line. ...
Resquiens's user avatar
  • 176
0 votes
2 answers
11k views

Work done in moving a charge

So, recently while I was studying electric fields and charges for a test, I came across the definition of electric potential as - The amount of work done in moving a unit positive test charge from ...
vs_292's user avatar
  • 947
15 votes
2 answers
5k views

How is energy stored in magnetic and electric fields?

We say that there is energy associated with electric and magnetic fields. For example, in the case of an inductor, we give a vague answer saying that an energy of $\frac{1}{2} LI^2$ is stored in the ...
Yashas's user avatar
  • 7,203
12 votes
8 answers
3k views

Why is the electrostatic force felt in straight lines?

When two positive charges are kept close, they get repelled in the direction of a line joining both the charges. Why is it so? Also, why is the repulsion in a straight path? In both the cases, the ...
GRAVITON PI's user avatar
7 votes
7 answers
4k views

Is it impossible to construct a Faraday cage that can block a *static* electric field?

I think the answer is yes. My reasoning is this: Imagine for argument's sake, we could have a charged negative source that has its field blocked by a Faraday cage. We can transport a positive charge ...
KDP's user avatar
  • 6,102
4 votes
5 answers
1k views

Electric potential and electric potential energy definitions

I was thinking about the definition of this 2 concepts and I don't know if I understand exactly what they mean. Electric potential is just the work that must be done to bring a charge from infinity to ...
Angelixus's user avatar
4 votes
2 answers
24k views

When work done is taken negative in electrostatics?

Let us say a point charge Q was moved across a potential difference V, then work done would be : QV. This work is taken negative when done external agent, Please explain when It is negative and ...
Holy Answerer's user avatar
3 votes
3 answers
5k views

Why is there a minus in the definition of the electric potential?

We usually say that the work done by a force is $\mathrm{d}W = F\cdot\mathrm{d}l$, and the electric potential is $\mathrm{d}U = -E \cdot \mathrm{d}l$). Why do we put a negative sign over there? Is it ...
Nasir Mahmood's user avatar

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