I think the right solution is c). I'll pass on my reasoning to you:
R=6\, \textrm{cm}=0'06\, \textrm{m}
\sigma =\dfrac{10}{\pi} \, \textrm{nC/m}^2=\dfrac{1\cdot 10^{-8}}{\pi}\, \textrm{C/m}^2
P=0'03\, \textrm{m}
P'=10\, \textrm{cm}=0,1\, \textrm{m}
Point P:
\left.
\phi =\oint E\cdot...
I think the right choice is c. I'll pass on my reasoning to you:
We can think that if the formula of the potential is
V(r)=\dfrac{kq}{r}
If r tends to infinity, then V(r)=0.
But the correct answer is d).
I thought the right choice was d). But when it comes to the solutions, it is b) and I don't understand why.
My reasoning would be: the potential at a point is the work that the electric field does to transport a charge from infinity to that point, so if the field is zero, it does no work and...
I think I have the solution. Is that right?
\left.
\phi =\oint \vec{E}\cdot d\vec{S}=\oint E\cdot dS\cdot \underbrace{\cos 0}_1=E\oint dS=E\cdot S \atop
\phi =\dfrac{Q_{enc}}{\varepsilon_0 \varepsilon_r}=\dfrac{Q}{\varepsilon_0 \varepsilon_r}=\dfrac{\sigma \cdot S}{\varepsilon_0 \varepsilon_r}...
When I try to do Gauss, the permeability is not always that of the free space, but it varies: up to a certain radius it is that of the void and then it is the relative one. How can I relate them? I'm trying to calculate the capacity of a spherical capacitor.
The scheme looks like this: inside I...
Okay, perfect.
Gauss law would say that the charge inside a closed surface (which can take any shape) is proportional to the flux through it, wouldn't it?
"I) Transfer from initial (circular) to transfer (elliptical) orbit.
- The initial trajectory of m is a circumference centred in the massive object M of radius r=r_p . The velocity of m is constant, and can be easily obtained as follows:
e=-\dfrac{GM}{2r_p}=\dfrac12 v_p^2-\dfrac{GM}{r_p}...
I also think that, but I think it might indicate the speed variation.
Otherwise, there's no meaning in the minus sign.
If you do the velocity variation considering circular trajectories I think that's correct. Since the speed: V=\sqrt{\dfrac{GM}{R}}
Although not on top it shouldn't have speed
Aa okay, that is even if it is not constant you know that it will surely be proportional because it must always be a multiple of the elementary charge, the electron. Right?
This isn't right, is it?
-\dfrac{GM}{R}+\dfrac12 v^2=-\dfrac{GM}{R+h}
v=\sqrt{\dfrac{GM}{R}}\left( 1-\sqrt{\dfrac{R}{R+h}}\right)
He's doing energy conservation. The mechanical energy at the Earth's surface is equal to the energy when the speed is 0.
Writing in terms of ##R##:
a) ##A_T=2R\cdot 2R-\dfrac14 \pi R^2+\dfrac{R2R}{2}=4R^2-\dfrac{\pi R^2}{4}+R^2=\dfrac{16R^2-\pi R^2+4R^2}{4}=\dfrac{R^2\cdot (20-\pi)}{4}=\dfrac{20R^2-\pi R^2}{4}=143,3\, \textrm{cm}=1,433\, \textrm{m}##
b) Centers of gravity:
- Figure 1...
Determine the volume of the shaded area around the Y-axis by using the theorem of Pappus Guldinus, where value of R = 143,3 cm.
a) Determine the area of the shaded section.
b) Determine the center of gravity of the shaded section.
c) Detrmine the volume by using the theorem of Pappus Guldinus...
Summary:: I'm solving an exercise.
I have the following center of gravity problem:
Having the function Y(x)=96,4*x(100-x) cm, where X is the horizontal axis and Y is the vertical axis, ranged between the interval (0, 93,7) cm. Determine:
a) Area bounded by this function, axis X and the line...
The load system formed by the point load and the load distribution generates two regions in space corresponding to r<1m and r>1m, i.e. inside and outside the sphere. Given the symmetry of the distribution, by means of the Gaussian theorem we can find the modulus of the field at a distance r from...
I found this:
An electric dipole consists of two charges, one positive +q and the other negative -q of the same value, separated by a distance d, usually small.
The main characteristic of the electric dipole is the dipole moment, which is defined as the product of the charge q by the distance...