New answers tagged potential
3
votes
Why the probability density for a finite potential well is more inside the well compared to outside where potential is zero for higher value of $n$?
You seem to have chosen a resonant energy where there is perfect transmission through the barrier. The particle travels slower where the potential is higher, so the particle lingers there longer. ...
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0
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Apparent mathematical contradiction regarding constant potential inside conductor - what am I missing?
I suspect that you're forgetting the induction by the point charge of surface charges on the conductor. The net charge on the conductor will remain zero, but, roughly speaking, the face of the ...
- 36.3k
0
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Why does a charge begin to move when placed at the center on the axis of an electric dipole?
Lower the potential energy, lower the energy, more stable the system. Negative is less than zero, so moving towards negative potential is stabler than staying at zero potential.
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Why does a charge begin to move when placed at the center on the axis of an electric dipole?
A plot of potential $\phi$ in the xy-plane for two opposite sign equal magnitude charges situated at $(\pm 1, 0)$ shows the along the $x=0$ line the potential (zero) does not change, ie no force, but ...
- 98.9k
2
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Why does a charge begin to move when placed at the center on the axis of an electric dipole?
It moves because it can achieve lower potential by going near the negative charge.
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4
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Why does a charge begin to move when placed at the center on the axis of an electric dipole?
For a test charge to remain still in an electric potential the requirement is that it is at a stationary point of the potential, aptly named. A stationary point is one where the gradient of the ...
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0
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Why does a charge begin to move when placed at the center on the axis of an electric dipole?
My question is, if there is zero potential at the center, why does any
charge begin to move?
The potential is zero because it requires no work to bring a test charge from infinity to a point in the ...
- 76k
1
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Does mass of comet change its orbit?
If it was a sphere and its mass were lost symmetrically (same speed) in all directions, it would not affect its orbit (Assuming the planet is large enough so its motion would not to be affected by ...
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Equipotential Lines
Check this negative charge picture,
blue are electric field lines and gray - equipotential lines. Unit charge placed on the same equipotential line will have same electric potential or in other words ...
- 14.3k
0
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Upper and lower bounds in integral for potential
Example 1 from griffiths book page 82:
Same thing a test charge is brought from infinity to $R$ under the electrical field $E$ and then from $R$ to $r$ under the field $0$.
Correct.
Second example:
...
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1
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Upper and lower bounds in integral for potential
I think the confusion might be resolved if we clarify what exactly the second sphere being 'grounded' means. It means that the conductor is connected to some "external" reservoir of charge, ...
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On the Unique Characteristics of Potential
You use reference frame in two very different meanings. First the definition of a unit, your example length, Second for a reference point for a potential. If you want to compare the two you should ...
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What is the physical explanation behind the decrease of open circuit voltage as temperature increases in an amorphous solar PV cell?
There are several reasons for decreasing of the open circuit voltage when temperature increase. Someone use from analytic diode model of solar cells or fermi-dirac distribution to explain the effect ...
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Are the potentials of the electrolytes equal in Galvanic cell?
Consider a closed circuit with a resistor connected to a battery,
I have created a graph with each position on the horizontal axis and the electrical scalar potential on the vertical axis.
A graph of ...
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What is the difference between electric potential, electrostatic potential, potential difference (PD), voltage and electromotive force (EMF)?
All of them have the same SI unit of Volt, right?
Yes, sadly, different quantities that all have the same unit of volt are called "voltages". In this answer, I hope to hope to bring some ...
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0
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Electric Potential simple questions
But if $P$ has a charge (positive), then it would be moved in the direction of the green arrow.
If an external force was applied the test charge at $P$ whose magnitude was the same as $\vec F$ and was ...
- 98.9k
1
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Electric Potential simple questions
You're right; the potential at point $P,$ due to one positive charge and one negative charge, does sum to zero. But the positive charge $q_P$ at $P$ still feels a force, despite the potential at the ...
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Accepted
Electric Potential simple questions
How can a P charge can move even though it has zero potential?
Because the force is not determined by the value of the potential. The force is determined by the slope of the potential.
Because a ...
- 22.5k
2
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Vector Potential and Electric Field
Yu uses cgs units. In cgs units, the electric field is
$$\vec{E} = -\frac{1}{c}\frac{\partial \vec{A}}{\partial t}\ , $$ (see eqn. 6.24 in Yu)
and $c =\omega/q$.
If $E = E_0 \sin(\vec{q}\cdot \vec{r} -...
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1
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Accepted
Vector Potential and Electric Field
In page 260 the conjugate term is explained: it's used so that $A$ is a real function. Remember that $e^{ix}+e^{-ix}=2\cos x$. As for the constant terms that appear in the equation for $A$, I think it ...
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3
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Why is charge on a conductor stable?
Yes that's right, for a charged conductor the electric field outside the surface is directed such as to pull charge off the surface. The reason the charge doesn't leave the surface is to do with what ...
- 60.2k
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Find the leading $1/L$ corrections to the magnetic field for a finite solenoid of length $L$
Let $S_L$ be a solenoid of length $L$ whose center is at the origin, and $S$ an infinite solenoid. The difference $S - S_L$, call it $S_{\overline{L}}$, is a pair of half-infinite solenoids: the parts ...
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3 Aspects of Voltage that contradict each other
Perhaps the best mental picture for voltage is elevation. Taking Gravitational Potential Energy $E_g= mgh$ divided by the mass, gives us Gravitational Potential:
$$V_g= \frac {E_g}{m} = gh$$
And since ...
- 10.2k
0
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Representing gravity as spherical harmonic expansion causes divergence at poles
So I understand at this point what is going on. My original equation below is correct:
$\frac{\partial }{\partial\theta}P_{n,m}(cos(\theta))=-sin(\theta)\frac{\partial}{\partial (cos(\theta))}P_{n,m}(...
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3 Aspects of Voltage that contradict each other
(Electric) potential energy $U$ is associated with a charge $q$ and its location in an electric system.
(Electric) potential $V=U/q$ is (electric) potential energy per charge, a measure that makes it ...
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5
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3 Aspects of Voltage that contradict each other
1- Voltage is Potential Difference: Voltage is the difference between
the energy levels.
The potential difference between two points is the work required per unit charge to move the charge between ...
- 76k
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Representing gravity as spherical harmonic expansion causes divergence at poles
I didn't check your math, but I don't think there is a divergence.
It seems implied in the question that you are talking about the gravity of a spherical planet, maybe rotating--possibly Earth.
This ...
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7
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Accepted
3 Aspects of Voltage that contradict each other
Basically the problem here is using the same words for similar and related concepts that are nonetheless not identical. The fundamental concept that is behind "voltage" is the concept of ...
- 2,399
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Relation of field of force to potential energy
According to the multivariable chain rule the total differential of a multivariate function, for example $f(x,y)$, is:
$$\mathrm df = \frac{\partial f}{\partial x}\mathrm dx + \frac{\partial f}{\...
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