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Questions tagged [electric-fields]

For questions that utilize the concept of electric fields (commonly denoted by the letter E), or for questions whose answers likely involve electric fields. More specific than the [electricity] tag, as questions about the phenomenon & theory of electricity do not necessarily involve the discussion of fields.

1 vote
1 answer
23 views

Electric field at any point in the region between two capacitors is proportional to the magnitude of charge on each conductor

This is a statement from Young and Freedman's University Physics Section 24.1 on Capacitors. Suppose we have any two conductors with charges $-Q$ and $+Q$ on each charged with a battery. Then this ...
2 votes
1 answer
40 views

Bound Charges in Polarized Material

I'm currently working my way through chapter 4 of Griffith's Introduction to Electrodynamics (4th ed) and I ran into an issue with his notation. In chapter 4 sectin two, when calculating the electric ...
2 votes
0 answers
73 views

Induced charge on conducting sphere sliced by a plane

We are given a conducting solid sphere, and it is cut by a plane as shown. A charge $Q$ is given to the smaller part of the conductor, and it is required to find the induced charge on the surface of ...
0 votes
3 answers
108 views

When an electron is moving at relativistic speeds, is the electric field length-contracted as well?

Suppose I have an electron that is moving at relativistic speeds. SR says some degree of length contraction should take place. Does this mean that the electric field around the electron should also be ...
0 votes
2 answers
293 views

Induce electric field in an incomplete circular conducting loop

I was solving a numerical example(image1) of 'Griffiths book of electrodynamics' And in this solution it is given that if there is a changing magnetic field is there there would be induce induce ...
3 votes
1 answer
376 views

Coulomb force from a variational principle

See the attached discussion from Zangwill's Modern Electrodynamics, and in particular footnote 9. The point of this question is to understand how to recover Coulomb’s force law from an assumed form ...
1 vote
2 answers
66 views

Potential of an electric dipole

I'm currently working my way through Griffith's Introduction to Electrodynamics (4th ed). In chapter 3 section 4, he shows that we can take the equation for the electric potential of a continuous ...
2 votes
2 answers
1k views

Outside electric field due to an off-center charge inside a conducting shell

Suppose there is an off-center charge inside a copper conducting shell. We know that we can use the method of images to calculate the charge distribution on the inner surface. We also know that the ...
0 votes
1 answer
68 views

A General Analysis of Charge Distribution inside conductors

I'll go ahead and present my question straight-forward and then talk about the calculation details.My Question is: how do you define a conductor in Electrostatics? What are the basic(minimum) set of ...
0 votes
1 answer
2k views

Neutral conductor and charged insulator brought near each other

What happens when a charged insulator is placed near an uncharged neutral metallic conductor? I know it attracts each other because of charging by induction (electrons redistribute). But would the ...
0 votes
1 answer
45 views

Uniqueness of charge distribution in conductor

I found out about a result describing the uniqueness of the charge distribution on a conductor. It says that for a given total charge on a conductor and a given charge distribution of the outside (...
1 vote
1 answer
247 views

Gauss's Law Application for Finding the Electric Field of a System with 2 (or more) Charges

Suppose that there is a charge configuration of 2 point charges, say an electric dipole. Gauss's Law wouldn't be so useful (but it would be possible, as far as I understand) because there is not a ...
6 votes
1 answer
190 views

Accumulated charge in conductors

Conductors placed in electric fields undergo a redistribution of charges. There is a separation of charges which occurs only on the surface. But what prevents the charge from leaving the surface of ...
0 votes
2 answers
114 views

Are there exceptions to Gauss's law?

The textbook I am reading claims that Gauss's law is a fundamental law of nature, however is that really true? For example, would it hold up if inside the closed surface there was a negative charge ...
0 votes
0 answers
32 views

How is the local field in a dielectric material calculated?

I have read in different sources (text, video, amongst others) that the local field in a dielectric material placed within a capacitor can be easily calculated as the sum of 4 electric fields: $E_{...

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