1) [v H] will lie along z-axis.
2)Sure
3)Yes
4)I am not sure, but following a given advice I made calculations above and some adequate result was obtained...
5)When boosting perpendicular to x-y (E-H) plane the only case with some common sense is when x-axis divides angle φ in 2 halves φ/2.
Here is my solution. I also tried another way using scalar product which should be equal to 1 in the new frame. I obtained the same result.
If this is right, this solution means the new frame moves with V along x-axis. I am curious if this solution is not unique.
We started with a...
Homework Statement
In laboratory's frame the angle between vectors E and H is given φ. Find the frame where these vectors will be parallel.
Homework Equations
The Attempt at a Solution
I suppose I should require equal angle between each of the E' and H' and axes in the ''new'' frame.
Means...
Homework Statement
Light (plane wave) reflects from the mirror moving along X-axis with speed V. The wave is orthogonal to the mirror (φ=0°).
Write the law for frequency change.
Homework Equations
I know Lorenz transformation for frequency.
The Attempt at a Solution
All I do not know is how to...
Yes, I checked your link above. From their formula m=I*S it follow for 2 electrons m=qwR2 - no 1/c. This result corresponds to the result of 1 electron.
But initially I tried to apply the general formula for m=(1/2c)*∫dV [r*j]; this formula was used in class where all tasks were done using CGS...
Homework Statement
Electron e, mass m, moves in constant homogeneous magnetic field H. Find time interval for electron's energy to decrease 10 times due to emission.
Homework Equations
I know for sure from the class that m*a=(e/c)*(v⊥)*H (Lorentz force); intensity -I=dE/dt=-2e4v⊥2H2/(3m2c5)...
Oh yes, I looked up a similar problem with 1 electron. There J=q/T; therefore m=0.5qwR2
What about 1/c? Is it referred to the fact that I used CGS system of units?
Homework Statement
Here we have two electrons rotating around z axis with angular speed w in a circle of radius R. They are on the same straight line (have difference in phase π). Find the magnetic moment.
Homework Equations
Magn. moment m=(1/2c)*∫dV [ r j ]
The Attempt at a Solution
Current...
Homework Statement
ut − 2ux =1/ u;
what expressions are constant along the equations's characteristics?
Homework Equations
3. The Attempt at a Solution [/B]
Am I right?
dt=dx/(-2)=du/(-1/u), -2t=x=u2;
u=sqrt(x); u=sqrt(-2t) are constant.
Thank You!
I've looked up. Here is something from Wikipedia:
So, I stick to my opinion it is linear.
But I can't so far decide about it being homogenous... In one Wiki article I read: diff. equation containing non-zero free term in the right part of the equation. This term must be independent...