Homework Statement
A cylindrical electromagnetic cavity 4.8cm in diameter and 7.3 cm long is oscillating.
a) Assume that, for points on the axis of the cavity Em=13kV/m. The frequency of oscillation is 2.4 GHz.
For such axial points, what is the maximun rate (dE/dt)m, at which E...
Homework Statement
L = R \int \sqrt{1+ sin^2 \theta \phi ' ^ 2} d\theta
from theta 1 to theta 2
Using this result, prove that the geodesic (shortest path) between two given points on a sphere is a great circle. [Hint: The integrand f(\phi,\phi',\theta) in the result is independent of...
Okay, I start with a general B.
So then,
∂yBz-∂zBy= Eocos(A) (where A is everything after cos)
∂zBx-∂xBz= Eocos(A)
∂xBy=∂yBx=0
Is that right ? if it is, how do I solve it ?
Yes, they are unit vector. And the x inside the sin it is supposed to be a z, sorry :/
So aren't there two directions in which B can be perpendicular? x+z and y+z ?
Homework Statement
If the electric field in free space is E=Eo(x^+y^)sin(2pi/lamda)(z+ct), with Eo=2 statvolts/cm the magnetic field, not including any static magnetic field, must be what?
2. Relevant equation
∇ x B= 1/c ∂E/∂t
The Attempt at a Solution
First I calculated ∂E/∂t=...
Homework Statement
I have to do an E&M problem, I think I got it, but I made a few steps that I don't really understand. The first one is:
If delxB= muJ
Does
del x dB/dt = mu dJ/dt ??
If so, why ?
I tried using latex, but it didn't work...sorry :(
Homework Equations...
(I can't find your omegas and pi...:( )
Okay, so this is what I got.
t=2npi/\omega
Vf=v0-gt and since Vf=0, v0=gt
but it goes up and down, so the total time is
t=2vo/g.
And then, v0=gnpi/\omega
Is that right ? :)
(didn't I use omega :/ ? )
So the time to make one rotation is t= 2 \pi / \omega0 right ?
And in that time it goes up a distance x= Vot - \frac{1}{2}gt where t is the one above ?
Am I in the right track ? :)
So, for the linear motion:
V=V0-gt
And for the rotational motion:
\omega= \omega 0+\alphat
Cupid.callin what do you mean by lest rod goes up by some distance l?
b]1. Homework Statement [/b]
A juggler is juggling a uniform rod one end of which is coated in tar and burning. He is holding the rod by the opposite end and throws it up so that, at the moment of release, it is horizontal, its Center of Mass is traveling vertically up at speed vo and it is...