1. Homework Statement
2. Homework Equations
So I basically have to establish the non linear differential equation that governs the movement of this robot (relates d and theta):
3. The Attempt at a Solution
So I know that we should have the sum of torques equal to...
1. Homework Statement
I'm working through an example with motional EMF and I'm having trouble understanding the directions of vectors so that I can apply induction law.
The magnetic circuit seems complex because the circuit is used to analyze other situations but the air gap 3, the coil 3 and...
Holy cow I just checked the document with the books mistakes and yup it should only be a symbolic result. Well at least all this time made me understand the dot notation which I wasn't really understanding so thanks :)
Ok, so I looked on some tutorials on the internet and I'm more familiar with the concept now.
This leads me to obtain:
$$ \frac{\psi_1 \psi_2}{I}=L_1 + L_2 - 2 |L_M|$$
Where I take the absolute value to reinforce that we have discordant coupling (because of that the value of the mutual...
No I haven't :/ That's why I'm missing something here. I came across the formulas for coupling inductors:
$ L= L1 + L2 + 2M $
$L = L1 + L2 - 2M $
And didn't understand where they came from and the meaning of them. Maybe it has something to do with that dot notation? Do you know where I can...
I meant that B is directed to the right on the windings on the right and to the left on windings on the left! I'm sorry I'm not getting there, what does place the dots even mean?
1. Homework Statement
I have the following circuit:
The two inductors are connected in series are characterized by internal resistances R1 and R2 and self-inductances L11 and L22. The magnetic coupling factor between the inductors is k = 0.75. The inductors carry the same current i. What...
1. Homework Statement
I'm currently studying induction law and circuits with inductors. I came however with the following circuit:
[1]: https://i.stack.imgur.com/ghaiE.png
2. Homework Equations
3. The Attempt at a Solution
Now my text says the following:
"Unlike what your intuition...
The goal of the exercise is to do the opposite e.g. determine E and then use that formula to get L. I didn't post that last bit because it was not relevant for the question I guess.
1. Homework Statement
So I came across with following problem:
> Consider a cylindrical conductor of infinite length and circular section of radius a and that is traversed by a stationary current I. What is the magnetic energy stored in the conductor.
2. Homework Equations
3. The Attempt...
Substituting the values on I expression we obtain ##I=1.26 \sin(200 \pi t)##.
Substituting in P we get to ## P=31.752 \sin^2(200 \pi t)##.
Then ##\int_{0}^{120} 31.752 \sin^2(200 \pi t) dt = 1.9 kJ##
So that's it...
Well than again since they only asked for the energy dissipated by Joule heating, we don't have to count with other forces (e.g.. rotating the circuit).
I don't understand why I'm getting half of what I was supposed to though...
1. Homework Statement
A square circuit of resistance R=20Ω and side ℓ = 0,2 m spins 100 times per second around an horizontal axis that splits it in two. There is an uniform magnetic field B=1T perpendicular to the position ocupied by the circuit at t=0s.
Calculate (1) the magnetic flux, (2)...
But isn't ##2 \pi L ## also a length? Its the "path" the the current takes, right?
Oh so because I'm integrating ##I \, dl## in Biot Savart if I used that perimeter when computing I it would be like multiplying by the same thing twice...
Ok that gives me the right answer. But now I understand what I'm not figuring out. Why are you only using the thickness of the cylinder to calculate I. Shouldn't we also use the perimeter? I know in terms of units we should only use one (to cancel out the m^-1)... But why using the thickness and...
Oh so he ring approximation is the way to go right?
For $I$ I got 6.3 A (as I described above multiplied the current density by $2 \pi R l$ where R is the radius and l the thickness.
For $\mu_0$ I used $4\pi \times 10^{-7}$
My other guess was that this degenerated in the case of a ring of charge (current only superficial on the sides and neglect thickness). But that would give me a field of $$B=\frac{\mu_0 I}{2R}$$ and that would lead me up to a field 39.584 mT...
But all of my current is that superficial bound current, right? There is no free current. So my full current will be $#10^5 \times 2\pi \times 1 \times 10^{-2} \times 1 \times 10^{-3} = 6.3 A#$
As for the B field. I'm having a bit of trouble applying Biot Savart.
So I have
Having dl the...
1. Homework Statement
Consider a cylinder of thickness a=1 mm and radius R = 1 cm that is uniformly magnetized across z axis being its magnetization M= 10^5 A./m. Calculate the bound currents on the cylinder and, doing convenient approximations, the B field on the axis of the cylinder for z=0...
@TSny I want to apologize for my reaction on the other day. I was very stressed because I've been working for hours not figuring out how to solve the problem. Not that that can justify my rudeness. So my sincere apologies. I eventually figured out what yo meant with the hint that it was an...
1. Homework Statement
Consider a perfect monoatomic gas at pressure $p_i$ 1.2 atm and temperature $T_i$ 300K, that is in equilibrium inside a cylinder having a volume $V_i=1L$ and which piston has a mass of 1kg and is at an height of 50 cm. Admit that a mass M=3.13kg is over the piston. When...
Yes what I did was I took my expression for ##V##, isolated ##\lambda## in that expression and substituted in my expression for ##P##. That was how I got to my expression for sigma (with a minus sign).
If I substitute V back to my sigma expression I will have:
$$\sigma= -\frac{\lambda...
1. Homework Statement
Consider a coaxial cable which consists of an inner cylindrical conductor of radius R1, and a shell cylindrical conductor of radii R2 and R3. The 2 conductors are separated with a dielectric material of permittivity ε. Consider the length of the cable, ℓ, much larger than...
1. Homework Statement
Consider an infinite environment with electrical permittivity non-homogeneous $$\epsilon=\epsilon_0(1+a/r)$$ a being a positive constant. A conducting sphere of radius R and charge Q is put on that environment, centered at r=0. Determine the electric field $$E$$, the...