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2 votes
1 answer
29 views

Energy in Dielectric Medium as a Sea of Dipoles

Simply, why is the energy density in a dielectric medium = $\frac{1}{2}K\epsilon_oE^2$ where K is the dielectric constant of the dielectric medium? Working proof Consider a capacitor that is charged ...
Kayen Jain's user avatar
-1 votes
0 answers
16 views

Parallel plate capacitors with dielectrics [closed]

I was studying capacitors with dielectrics ,where my teacher gave one example for us to solve between the parallel plate capacitor there is dielectric which is further divided into four dielectrics ,...
Kushagra Mishra's user avatar
0 votes
3 answers
32 views

Electric field at a point due to dielectric inserted in between a parallel plate capacitor [closed]

Here, I have a parallel plate capacitor with each plate having surface charge density $\sigma$. A dielectric of dielectric constant $K$, is inserted partially between the two plates. What would be the ...
NPC's user avatar
  • 21
0 votes
6 answers
117 views

How will the capacitance of a capacitor reduce when the distance between the plates is increased?

Now I know that if the potential difference between the plates increase that capacitance will reduce, but for that also I thought as the distance between the plates increases, the electric field ...
Leisha Lakhotia's user avatar
0 votes
1 answer
49 views

How can I deduce a capacitance of a capacitor without existing formulaes?

Understanding Charge Accumulation in Capacitors Connected in Series I've been exploring the behavior of capacitors connected in series and developing a conceptual model to understand how charge ...
DPV's user avatar
  • 13
0 votes
2 answers
49 views

Maxwell stress tensor on a capacitor late given a dielectric

Given a capacitor with large plates (area $A$) separated by a dielectric with relative permittivity $\varepsilon_r$ and thickness $g$, I believe the Maxwell stress tensor states that the force on each ...
asyndeton256's user avatar
0 votes
1 answer
27 views

Using an imaginary conducting shell of infinite radius to calculate capacitance of a spherical conductor

This is a statement from Serway's Modern Physics which I don't understand. It tries to explain capaticance for a single conductor. Imagine a single spherical charged conductor. The electric field ...
nomadicmathematician's user avatar
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 ...
nomadicmathematician's user avatar
0 votes
2 answers
47 views

Effect on a capacitor due to a dielectric

Why does the effect of a dielectric fully inserted between a parallel plate capacitor differ when the capacitor is connected to a battery source and when it is not? When a charged capacitor is not ...
Mel's user avatar
  • 133
0 votes
0 answers
48 views

Can a material have zero free charge density while having non-zero conductivity?

I solved this problem where a lossy dielectric (conductivity: non-zero constant, permittivity: non-zero constant) is placed between two plates. I found that the magnitude of $E$ is constant since divJ ...
Mathematics 22C's user avatar
1 vote
0 answers
17 views

Is there simple harmonic motion when a dielectric longer than the capacitor is inserted into the capacitor? [duplicate]

I’m trying to understand the mechanics of a dielectric being inserted into a parallel-plate capacitor. Suppose I have a parallel-plate capacitor with plate separation d and a dielectric slab of length ...
Sai Charan Petchetti's user avatar
1 vote
2 answers
85 views

Charged plate between two different dielectrics

Imagine a charged plate, placed in between two DIFFERENT dielectrics of susceptibilities $\chi _1\:and\: \chi _2$ . From Gauss's law, We can conclude that the sum of the magnitude of the electric ...
CuSO4 NaOH's user avatar
0 votes
1 answer
52 views

Why does capacitance depend on medium?

Capacitance does not depend on charge or the potential difference due to it fundamentally being a constant which we have defined. I only have trouble understanding why does it then change if we change ...
Maanit's user avatar
  • 11
0 votes
1 answer
45 views

Why is the induced charge on the infinite plane expected to be $-q$?

3.2.2 page 123 of Griffiths E&M. Place a charge $q$ a distance of $d$ above an infinite grounding conducting plane. The total charge induced on the conducting plane is then $-q$. The last sentence ...
PhysicsIsHard's user avatar
2 votes
0 answers
23 views

Capacitance coefficients of two enclosed spheres

I was reviewing G.B. Jeffery's work titled On a Form of the Solution of Laplace's Equation Suitable for Problems Relating to Two Spheres. To access the full text, you need to click "DOWNLOAD PDF&...
Edward Henry Brenner's user avatar

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